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Journal articles on the topic 'Hybrid dynamical system'

Author: Grafiati

Published: 4 June 2021

Last updated: 19 February 2022

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1

Mhamdi, Lotfi, Lobna Belkacem, Hedi Dhouibi, and Zineb Simeu Abazi. "Using Hybrid Automata for Diagnosis of Hybrid Dynamical Systems." International Journal of Electrical and Computer Engineering (IJECE) 5, no. 6 (December 1, 2015): 1396. http://dx.doi.org/10.11591/ijece.v5i6.pp1396-1406.

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Physical systems can fail. For this reason the problem of identifying and reacting to faults has received a large attention in the control and computer science communities. In this paper we study the fault diagnosis problem and modeling of Hybrid Dynamical Systems (HDS). Generally speaking, HDS is a system mixing continuous and discrete behaviors that cannot be faithfully modeled neither by using formalism with continuous dynamics only nor by a formalism including only discrete dynamics. We use the well known framework of hybrid automata for modeling hybrid systems, because they combine the continous and discretes parts on the same structure. Hybrid automaton is a states-transitions graph, whose dynamic evolution is represented by discretes and continous steps alternations, also, continous evolution happens in the automaton apexes, while discrete evolution is realized by transitions crossing (arcs) of the graph. Their simulation presents many problems mainly the synchronisation between the two models. Stateflow, used to describe the discrete model, is co-ordinated with Matlab, used to describe the continuous model. This article is a description of a case study, which is a two tanks system.

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2

Runolfsson, Thordur. "Towards hybrid system modeling of uncertain complex dynamical systems." Nonlinear Analysis: Hybrid Systems 2, no. 2 (June 2008): 383–93. http://dx.doi.org/10.1016/j.nahs.2006.05.004.

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Kositsky, M., A. Karniel, S. Alford, K. M. Fleming, and F. A. Mussa-Ivaldi. "Dynamical dimension of a hybrid neurorobotic system." IEEE Transactions on Neural Systems and Rehabilitation Engineering 11, no. 2 (June 2003): 155–59. http://dx.doi.org/10.1109/tnsre.2003.814444.

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4

ZHANG, GUOFENG, GUANRONG CHEN, TONGWEN CHEN, and MARÌA BELÉN D'AMICO. "DYNAMICAL ANALYSIS OF A NETWORKED CONTROL SYSTEM." International Journal of Bifurcation and Chaos 17, no. 01 (January 2007): 61–83. http://dx.doi.org/10.1142/s0218127407017173.

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A new network data transmission strategy was proposed in [Zhang & Chen, 2005], where the resulting nonlinear system was analyzed and the effectiveness of the transmission strategy was demonstrated via simulations. In this paper, we further generalize the results of Zhang and Chen [2005] in the following ways: (1) Construct first-return maps of the nonlinear systems formulated in [Zhang & Chen, 2005] and derive several existence conditions of periodic orbits and study their properties. (2) Formulate the new system as a hybrid system, which will ease the succeeding analysis. (3) Prove that this type of hybrid systems is not structurally stable based on phase transition which can be applied to higher-dimensional cases effortlessly. (4) Simulate a higher-dimensional model with emphasis on their rich dynamics. (5) Study a class of continuous-time hybrid systems as the counterparts of the discrete-time systems discussed above. (6) Propose new controller design methods based on this network data transmission strategy to improve the performance of each individual system and the whole network. We hope that this research and the problems posed here will rouse the interest of researchers in such fields as control, dynamical systems and numerical analysis.

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Haddad, Wassim M., and Vijaysekhar Chellaboina. "Dissipativity theory and stability of feedback interconnections for hybrid dynamical systems." Mathematical Problems in Engineering 7, no. 4 (2001): 299–335. http://dx.doi.org/10.1155/s1024123x01001661.

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In this paper we develop a unified dynamical systems framework for a general class of systems possessing left-continuous flows; that is, left-continuous dynamical systems. These systems are shown to generalize virtually all existing notions of dynamical systems and include hybrid, impulsive, and switching dynamical systems as special cases. Furthermore, we generalize dissipativity, passivity, and nonexpansivity theory to left-continuous dynamical systems. Specifically, the classical concepts of system storage functions and supply rates are extended to left-continuous dynamical systems providing a generalized hybrid system energy interpretation in terms of stored energy, dissipated energy over the continuous-time dynamics, and dissipated energy over the resetting events. Finally, the generalized dissipativity notions are used to develop general stability criteria for feedback interconnections of left-continuous dynamical systems. These results generalize the positivity and small gain theorems to the case of left-continuous, hybrid, and impulsive dynamical systems.

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Mangan, N. M., T. Askham, S. L. Brunton, J. N. Kutz, and J. L. Proctor. "Model selection for hybrid dynamical systems via sparse regression." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, no. 2223 (March 2019): 20180534. http://dx.doi.org/10.1098/rspa.2018.0534.

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Hybrid systems are traditionally difficult to identify and analyse using classical dynamical systems theory. Moreover, recently developed model identification methodologies largely focus on identifying a single set of governing equations solely from measurement data. In this article, we develop a new methodology, Hybrid-Sparse Identification of Nonlinear Dynamics, which identifies separate nonlinear dynamical regimes, employs information theory to manage uncertainty and characterizes switching behaviour. Specifically, we use the nonlinear geometry of data collected from a complex system to construct a set of coordinates based on measurement data and augmented variables. Clustering the data in these measurement-based coordinates enables the identification of nonlinear hybrid systems. This methodology broadly empowers nonlinear system identification without constraining the data locally in time and has direct connections to hybrid systems theory. We demonstrate the success of this method on numerical examples including a mass–spring hopping model and an infectious disease model. Characterizing complex systems that switch between dynamic behaviours is integral to overcoming modern challenges such as eradication of infectious diseases, the design of efficient legged robots and the protection of cyber infrastructures.

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El Guezar, Fatima, and Hassane Bouzahir. "Chaotic Behavior in a Switched Dynamical System." Modelling and Simulation in Engineering 2008 (2008): 1–6. http://dx.doi.org/10.1155/2008/798395.

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We present a numerical study of an example of piecewise linear systems that constitute a class of hybrid systems. Precisely, we study the chaotic dynamics of the voltage-mode controlled buck converter circuit in an open loop. By considering the voltage input as a bifurcation parameter, we observe that the obtained simulations show that the buck converter is prone to have subharmonic behavior and chaos. We also present the corresponding bifurcation diagram. Our modeling techniques are based on the new French native modeler and simulator for hybrid systems called Scicos (Scilab connected object simulator) which is a Scilab (scientific laboratory) package. The followed approach takes into account the hybrid nature of the circuit.

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Vošček, Dominik, Anna Jadlovská, and Dominik Grigl’ák. "Modelling, analysis and control design of hybrid dynamical systems." Journal of Electrical Engineering 70, no. 3 (June 1, 2019): 176–86. http://dx.doi.org/10.2478/jee-2019-0026.

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Abstract This paper introduces a methodology for one of the challenges regarding cyber-physical systems, ie modelling and control design them as hybrid systems. The proposed methodology comprises modules with specific steps to accomplish the tasks. Specifically, the paper aims to utilize hybrid systems framework onto the chosen hydraulic hybrid system with complex dynamics to showcase different aspects of hybrid systems. The mathematical model was derived using hybrid automata framework and then transformed into the linear form either using Jacobi matrices or using linear approximations without Jacobi matrices. After that the system was validated and analysed and the control design utilizing piecewise linear-quadratic regulator optimal control was proposed. Furthermore, parameters of control algorithm were tuned using particle swarm optimization algorithm. The whole logic, system dynamics and constrains are implemented within MATLAB/Simulink simulation environment using s -functions. The proposed methodology can be implemented on the various types of cyber-physical systems as far as they can be described as hybrid systems.

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Peters, Karsten, and Ulrich Parlitz. "Hybrid Systems Forming Strange Billiards." International Journal of Bifurcation and Chaos 13, no. 09 (September 2003): 2575–88. http://dx.doi.org/10.1142/s0218127403008090.

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Hybrid dynamical systems consist of piecewise defined continuous time evolution processes interfaced with some logical or decision making process. These switches between different evolutions are triggered if the continuous state of the system reaches thresholds in state space. In the present work we investigate hybrid systems forming a special type of dynamical systems, so-called strange billiards. They show a rich variety of dynamical behavior including some unusual bifurcations and chaos, even if the continuous part of the system evolution is just linear. By means of Poincaré map techniques we discuss different dynamical behaviors. Applications to the simulation of manufacturing systems and consequences for their dynamical behavior are outlined.

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Hui, Qing. "Hybrid consensus protocols: an impulsive dynamical system approach." International Journal of Control 83, no. 6 (May 19, 2010): 1107–16. http://dx.doi.org/10.1080/00207171003586922.

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HAWDON, B. J., J. O'GORMAN, and D. M. HEFFERNAN. "DYNAMICAL STUDIES OF A HYBRID OPTICAL BISTABLE SYSTEM." Le Journal de Physique Colloques 49, no. C2 (June 1988): C2–419—C2–422. http://dx.doi.org/10.1051/jphyscol:19882100.

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FAN, QING-JU. "HORSESHOE CHAOS IN A HYBRID PLANAR DYNAMICAL SYSTEM." International Journal of Bifurcation and Chaos 22, no. 08 (August 2012): 1250202. http://dx.doi.org/10.1142/s0218127412502021.

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In this paper, we study the chaotic dynamics of a voltage-mode controlled buck converter, which is typically a switched piecewise linear system. For the two-dimensional hybrid system, we consider a properly chosen cross-section and the corresponding Poincaré map, and show that the dynamics of the system is semi-conjugate to a 2-shift map, which implies the chaotic behavior of this system. The essential tool is a topological horseshoe theory and numerical method.

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NISHIKAWA, JUN, and KAZUTOSHI GOHARA. "AUTOMATA ON FRACTAL SETS OBSERVED IN HYBRID DYNAMICAL SYSTEMS." International Journal of Bifurcation and Chaos 18, no. 12 (December 2008): 3665–78. http://dx.doi.org/10.1142/s0218127408022639.

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We studied a hybrid dynamical system composed of a higher module with discrete dynamics and a lower module with continuous dynamics. Two typical examples of this system were investigated from the viewpoint of dynamical systems. One example is a nonfeedback system whose higher module stochastically switches inputs to the lower module. The dynamics was characterized by attractive and invariant fractal sets with hierarchical clusters addressed by input sequences. The other example is a feedback system whose higher module switches in response to the states of the lower module at regular intervals. This system converged into various switching attractors that correspond to infinite switching manifolds, which define each feedback control rule at the switching point. We showed that the switching attractors in the feedback system are subsets of the fractal sets in the nonfeedback system. The feedback system can be considered an automaton that generates various sequences from the fractal set by choosing the typical switching manifold. We can control this system by adjusting the switching interval to determine the fractal set as a constraint and by adjusting the switching manifold to select the automaton from the fractal set. This mechanism might be the key to developing information processing that is neither too soft nor too rigid.

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Yamamoto, Yuji, Akifumi Kijima, Motoki Okumura, Keiko Yokoyama, and Kazutoshi Gohara. "A Switching Hybrid Dynamical System: Toward Understanding Complex Interpersonal Behavior." Applied Sciences 9, no. 1 (December 22, 2018): 39. http://dx.doi.org/10.3390/app9010039.

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Complex human behavior, including interlimb and interpersonal coordination, has been studied from a dynamical system perspective. We review the applications of a dynamical system approach to a sporting activity, which includes continuous, discrete, and switching dynamics. Continuous dynamics identified switching between in- and anti-phase synchronization, controlled by an interpersonal distance of 0.1 m during expert kendo matches, using a relative phase analysis. In the discrete dynamical system, return map analysis was applied to the time series of movements during kendo matches. Offensive and defensive maneuvers were classified as six coordination patterns, that is, attractors and repellers. Furthermore, these attractors and repellers exhibited two discrete states. Then, state transition probabilities were calculated based on the two states, which clarified the coordination patterns and switching behavior. We introduced switching dynamics with temporal inputs to clarify the simple rules underlying the complex behavior corresponding to switching inputs in a striking action as a non-autonomous system. As a result, we determined that the time evolution of the striking action was characterized as fractal-like movement patterns generated by a simple Cantor set rule with rotation. Finally, we propose a switching hybrid dynamics to understand both court-net sports, as strongly coupled interpersonal competition, and weakly coupled sports, such as martial arts.

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LIU, ZENGRONG, and K. W. CHUNG. "HYBRID CONTROL OF BIFURCATION IN CONTINUOUS NONLINEAR DYNAMICAL SYSTEMS." International Journal of Bifurcation and Chaos 15, no. 12 (December 2005): 3895–903. http://dx.doi.org/10.1142/s0218127405014374.

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In this paper, a new hybrid control strategy is proposed, in which state feedback and parameter perturbation are used to control the bifurcations of continuous dynamical systems. The hybrid control can be applied to any component of a several dimensional dynamical system and is still effective even when the system becomes chaotic. Our results show that various bifurcations, such as Hopf bifurcation and Poincaré bifurcation, can be controlled by means of this method.

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16

Gao, Xiuyu S., and Shawn You. "Dynamical stability analysis of MDOF real-time hybrid system." Mechanical Systems and Signal Processing 133 (November 2019): 106261. http://dx.doi.org/10.1016/j.ymssp.2019.106261.

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Drazin, Paul L., and Sanjay Govindjee. "Hybrid simulation theory for a classical nonlinear dynamical system." Journal of Sound and Vibration 392 (March 2017): 240–59. http://dx.doi.org/10.1016/j.jsv.2016.12.034.

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18

Kareem, M. G. Fajlul, and S. Sehik Uduman. "Hybrid dynamical system analysis in space using SCBZ property." Applied Mathematical Sciences 7 (2013): 3695–702. http://dx.doi.org/10.12988/ams.2013.212648.

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19

Corner, Sebastien, Corina Sandu, and Adrian Sandu. "Modeling and sensitivity analysis methodology for hybrid dynamical system." Nonlinear Analysis: Hybrid Systems 31 (February 2019): 19–40. http://dx.doi.org/10.1016/j.nahs.2018.07.003.

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20

KAWASHIMA, H. "Multiphase Learning for an Interval-Based Hybrid Dynamical System." IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E88-A, no. 11 (November 1, 2005): 3022–35. http://dx.doi.org/10.1093/ietfec/e88-a.11.3022.

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21

Bakić, Vukman, Milada Pezo, Žana Stevanović, Marija Živković, and Borislav Grubor. "Dynamical simulation of PV/Wind hybrid energy conversion system." Energy 45, no. 1 (September 2012): 324–28. http://dx.doi.org/10.1016/j.energy.2011.11.063.

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Hui, Jing, Jian-Hua Pang, and Dong-Rong Lin. "Mathematical Analysis of an Epidemic-Species Hybrid Dynamical System." Mathematical Problems in Engineering 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/810312.

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We consider an epidemic-species hybrid dynamical system. The disease is spread among the prey only and the infected prey can reproduce virus. The predator only eats the infected prey. Mathematical analyses are given for the system with regard to the existence of equilibria, local stability, Hopf bifurcation, and the orbital stability of the Hopf bifurcating limit cycle. We further analyse the system under impulsive releasing of virus and predator.

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23

Zhu, Yi Jun. "Research and Implementation of Safety Verification of Polynomial Hybrid Systems Based on Symbolic-Numeric Method." Advanced Materials Research 940 (June 2014): 485–90. http://dx.doi.org/10.4028/www.scientific.net/amr.940.485.

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As a mathematical model for cyber-physical system, hybrid systems are dynamical systems that are governed by interacting discrete and continuous dynamics. In this paper, we present a symbolic-numeric hybrid method to generate inequality inductive invariants for safety verification of polynomial hybrid systems, and based on this method, we develop an automated verification tool HSProver.

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Fu, Xiaoling, Qi Zhang, Chao Wang, and Jiyun Tang. "Torque Coordination Control of Hybrid Electric Vehicles Based on Hybrid Dynamical System Theory." Electronics 8, no. 6 (June 23, 2019): 712. http://dx.doi.org/10.3390/electronics8060712.

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In order to reduce the vibration caused by mode switching of hybrid electric vehicles (HEVs) and achieve smooth mode switching, the hybrid input and output automation (HIOA) model of power control system of a parallel HEV is established based on the theory of hybrid dynamical system (HDS). Taking the switching from electric drive mode to hybrid drive mode for example, the torque coordination control is considered, and the performance is compared with the method without the torque coordination by using a rule-based control strategy. The simulation results in AVL Cruise show that, on the premise of ensuring the fuel economy and the emission, the mode switching process becomes smoother with smaller torque fluctuation and better driving comfort by considering the torque coordination.

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Zhang, Fan Di. "Hybrid Projective Synchronization of Complex Dynamical Networks with Fractional-Order System Nodes." Applied Mechanics and Materials 336-338 (July 2013): 2365–68. http://dx.doi.org/10.4028/www.scientific.net/amm.336-338.2365.

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This paper investigates the problem of hybrid projective synchronization (HPS) in dynamical networks with fractional-order hyper-chaotic system nodes. Based on the stability analysis of fractional-order systems and nonlinear control technique, we propose a novel and general approach to realize the synchronization of complex network. A nonlinear controllers are designed to make the fractional-order complex dynamical networks with distinct nodes asymptotically synchronize onto any smooth goal dynamics. Numerical simulations are presented to demonstrate the effectiveness of the proposed synchronization scheme.

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Fidkowski, Lukasz, Jeongwan Haah, and Matthew B. Hastings. "How Dynamical Quantum Memories Forget." Quantum 5 (January 17, 2021): 382. http://dx.doi.org/10.22331/q-2021-01-17-382.

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Motivated by recent work showing that a quantum error correcting code can be generated by hybrid dynamics of unitaries and measurements, we study the long time behavior of such systems. We demonstrate that even in the ``mixed'' phase, a maximally mixed initial density matrix is purified on a time scale equal to the Hilbert space dimension (i.e., exponential in system size), albeit with noisy dynamics at intermediate times which we connect to Dyson Brownian motion. In contrast, we show that free fermion systems—i.e., ones where the unitaries are generated by quadratic Hamiltonians and the measurements are of fermion bilinears—purify in a time quadratic in the system size. In particular, a volume law phase for the entanglement entropy cannot be sustained in a free fermion system.

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Heemels, W. P. M. H., B. De Schutter, J. Lunze, and M. Lazar. "Stability analysis and controller synthesis for hybrid dynamical systems." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 368, no. 1930 (November 13, 2010): 4937–60. http://dx.doi.org/10.1098/rsta.2010.0187.

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Wherever continuous and discrete dynamics interact, hybrid systems arise. This is especially the case in many technological systems in which logic decision-making and embedded control actions are combined with continuous physical processes. Also for many mechanical, biological, electrical and economical systems the use of hybrid models is essential to adequately describe their behaviour. To capture the evolution of these systems, mathematical models are needed that combine in one way or another the dynamics of the continuous parts of the system with the dynamics of the logic and discrete parts. These mathematical models come in all kinds of variations, but basically consist of some form of differential or difference equations on the one hand and automata or other discrete-event models on the other hand. The collection of analysis and synthesis techniques based on these models forms the research area of hybrid systems theory, which plays an important role in the multi-disciplinary design of many technological systems that surround us. This paper presents an overview from the perspective of the control community on modelling, analysis and control design for hybrid dynamical systems and surveys the major research lines in this appealing and lively research area.

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Achbi, Mohammed Said, Sihem Kechida, Lotfi Mhamdi, and Hedi Dhouibi. "A Neural-Fuzzy Approach for Fault Diagnosis of Hybrid Dynamical Systems: Demonstration on Three-Tank System." Acta Mechanica et Automatica 15, no. 1 (March 1, 2021): 1–8. http://dx.doi.org/10.2478/ama-2021-0001.

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Abstract This work is part of the diagnostic field of hybrid dynamic systems (HDS) whose objective is to ensure proper operation of industrial facilities. The study is initially oriented to the modelling approach dedicated to hybrid dynamical systems (HDS). The objective is to look for an adequate model encompassing both aspects (continuous and event). Then, fault diagnosis technique is synthesised using artificial intelligence (AI) techniques. The idea is to introduce a hybrid version combining neural networks and fuzzy logic for residual generation and evaluation. The proposed approach is then validated on three tank system. The modelling and diagnosis approaches are developed using MATLAB/Simulink environment.

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Navarro-López, Eva M. "Hybrid modelling of a discontinuous dynamical system including switching control." IFAC Proceedings Volumes 42, no. 7 (2009): 87–92. http://dx.doi.org/10.3182/20090622-3-uk-3004.00019.

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Farkas, József Z., Peter Hinow, and Jan Engelstädter. "Pathogen evolution in switching environments: A hybrid dynamical system approach." Mathematical Biosciences 240, no. 1 (November 2012): 70–75. http://dx.doi.org/10.1016/j.mbs.2012.06.004.

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Xu, Guang, Jian-hua Dai, Shi-ping Yang, Fu-lai Zhang, and Hong-jun Zhang. "Dynamical behavior in a hybrid optical system with competing interactions." Physical Review A 42, no. 7 (October 1, 1990): 4269–83. http://dx.doi.org/10.1103/physreva.42.4269.

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Kasai, Ryosuke, Yusaku Yamaguchi, Takeshi Kojima, and Tetsuya Yoshinaga. "Hybrid Euler Method for Discretizing Continuous-Time Tomographic Dynamical System." Journal of Signal Processing 24, no. 4 (July 15, 2020): 183–86. http://dx.doi.org/10.2299/jsp.24.183.

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Prakash, Om, Arun Kumar Samantaray, and Ranjan Bhattacharyya. "Adaptive Prognosis of Hybrid Dynamical System for Dynamic Degradation Patterns." IEEE Transactions on Industrial Electronics 67, no. 7 (July 2020): 5717–28. http://dx.doi.org/10.1109/tie.2019.2931489.

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Li, Dong-Xi, and Ni Zhang. "Dynamical analysis for hybrid virus infection system in switching environment." Chinese Physics B 29, no. 9 (August 2020): 090201. http://dx.doi.org/10.1088/1674-1056/ab8c3f.

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DONDE, VAIBHAV, and IAN A. HISKENS. "SHOOTING METHODS FOR LOCATING GRAZING PHENOMENA IN HYBRID SYSTEMS." International Journal of Bifurcation and Chaos 16, no. 03 (March 2006): 671–92. http://dx.doi.org/10.1142/s0218127406015040.

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Hybrid systems are typified by strong coupling between continuous dynamics and discrete events. For such piecewise smooth systems, event triggering generally has a significant influence over subsequent system behavior. Therefore, it is important to identify situations where a small change in parameter values alters the event triggering pattern. The bounding case, which separates regions of (generally) quite different dynamic behaviors, is referred to as grazing. At a grazing point, the system trajectory makes tangential contact with an event triggering hypersurface. The paper formulates conditions governing grazing points. Both transient and periodic behaviors are considered. The resulting boundary value problems are solved using shooting methods that are applicable for general nonlinear hybrid (piecewise smooth) dynamical systems. The grazing point formulation underlies the development of a continuation process for exploring parametric dependence. It also provides the basis for an optimization technique that finds the smallest parameter change necessary to induce grazing. Examples are drawn from power electronics, power systems and robotics, all of which involve intrinsic interactions between continuous dynamics and discrete events.

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Ontañón-García, L. J., E. Campos-Cantón, and R. Femat. "Analog Electronic Implementation of a Class of Hybrid Dissipative Dynamical System." International Journal of Bifurcation and Chaos 26, no. 01 (January 2016): 1650018. http://dx.doi.org/10.1142/s0218127416500188.

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An analog electronic implementation by means of operational amplifiers of a class of hybrid dissipative systems in [Formula: see text] is presented. The switching systems have two unstable hyperbolic focus-saddle equilibria with the same stability index, a positive real eigenvalue and a pair of complex conjugated eigenvalues with negative real part. The analog circuit generates signals that oscillate in an attractor located between the two unstable equilibria, and may present saturation states at the moment of energizing it, i.e. if the initial voltage on the capacitors do not belong to the basin of attraction the circuit will end on a saturation state.

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Gebremariam, Tesfay, Mojtaba Mazaheri, Yexiong Zeng, and Chong Li. "Dynamical quantum steering in a pulsed hybrid opto-electro-mechanical system." Journal of the Optical Society of America B 36, no. 2 (January 2, 2019): 168. http://dx.doi.org/10.1364/josab.36.000168.

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Wang, Yu-Qing, Chao-Fan Zhou, Jia-Wei Wang, and Xin-Peng Ni. "Evolvement laws and stability analyses of traffic network constituted by changing ramps and main road." International Journal of Modern Physics B 33, no. 20 (August 10, 2019): 1950228. http://dx.doi.org/10.1142/s021797921950228x.

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Proposing realistic hybrid traffic flow model is a promising and hot topic in the area of fluid mechanics and nonlinear dynamics, since they can take advantages of combining dynamical properties of each individual vehicle and macroscopic characteristics of the global system. In this paper, different from the previous work, we propose a hybrid traffic flow model considering the dynamical competition between ramps and main roads. Afterwards, the dynamical control equations of the proposed system are established. Then, by means of performing finite difference analyses, nonlinear dynamical characteristics and specific properties of the proposed system are investigated. Evolvement laws of characteristic order parameters of the proposed traffic flow system are obtained by analyzing the change of density, velocity and current in various circumstances. Moreover, matrices of partition coefficient are employed into the proposed traffic network composed of a main road and varied ramps. Additionally, linear and nonlinear stability analyses are considered in different phase spaces. Therefore, the robustness of the proposed system is tested by both linear and nonlinear dynamics. Our work will be helpful to understand mesoscopic dynamical behaviors of each individual vehicle and inner interactions between them.

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Moncrieff, Mitchell W., and Changhai Liu. "Representing Convective Organization in Prediction Models by a Hybrid Strategy." Journal of the Atmospheric Sciences 63, no. 12 (December 2006): 3404–20. http://dx.doi.org/10.1175/jas3812.1.

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The mesoscale organization of precipitating convection is highly relevant to next-generation global numerical weather prediction models, which will have an intermediate horizontal resolution (grid spacing about 10 km). A primary issue is how to represent dynamical mechanisms that are conspicuously absent from contemporary convective parameterizations. A hybrid parameterization of mesoscale convection is developed, consisting of convective parameterization and explicit convectively driven circulations. This kind of problem is addressed for warm-season convection over the continental United States, although it is argued to have more general application. A hierarchical strategy is adopted: cloud-system-resolving model simulations represent the mesoscale dynamics of convective organization explicitly and intermediate resolution simulations involve the hybrid approach. Numerically simulated systems are physically interpreted by a mechanistic dynamical model of organized propagating convection. This model is a formal basis for approximating mesoscale convective organization (stratiform heating and mesoscale downdraft) by a first-baroclinic heating couplet. The hybrid strategy is implemented using a predictor–corrector strategy. Explicit dynamics is the predictor and the first-baroclinic heating couplet the corrector. The corrector strengthens the systematically weak mesoscale downdrafts that occur at intermediate resolution. When introduced to the Betts–Miller–Janjic convective parameterization, this new hybrid approach represents the propagation and dynamical structure of organized precipitating systems. Therefore, the predictor–corrector hybrid approach is an elementary practical framework for representing organized convection in models of intermediate resolution.

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Wu, Xiang, Kanjian Zhang, Ming Cheng, and Xin Xin. "A switched dynamical system approach towards the economic dispatch of renewable hybrid power systems." International Journal of Electrical Power & Energy Systems 103 (December 2018): 440–57. http://dx.doi.org/10.1016/j.ijepes.2018.06.016.

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Zhang, Yan, Xiaoli Chu, Yang Liu, and Yongqiang Liu. "A Modelling and Control Approach for a Type of Mixed Logical Dynamical System Using in Chilled Water System of Refrigeration System." Mathematical Problems in Engineering 2019 (March 20, 2019): 1–12. http://dx.doi.org/10.1155/2019/7131380.

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The chilled water system of central air conditioning is a typical hybrid system. The dynamic adjustment of cooling capacity based on hybrid system can achieve accurate temperature control and real-time energy saving. Mixed logical dynamical (MLD) systems have advantage for solving constrained optimization problems of this type of case by numerical methods. This paper proposes a novel modified type of MLD system, which enhances the model applicability and improves the switching flexibility and control effect for the framework. In order to meet the needs of cooling capacity and energy saving, the optimal control problem is transformed as MIQP problem by defined performance index. As a numeral example of application, the model and control method is used in pumps group control for variable water volume in chilled water system of central air conditioning. At last, the dynamic and energy-saving effects of the system are simulated, which shows the ideal control results.

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Hoyos Velasco, Carlos Ildefonso, Fredy Edimer Hoyos Velasco, and Julian M. Londoño Monsalve. "Nonlinear Dynamics Analysis of a Dissipation System with Time Delay." International Journal of Bifurcation and Chaos 28, no. 06 (June 15, 2018): 1830018. http://dx.doi.org/10.1142/s0218127418300185.

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This work is concerned with the bifurcational analysis of nonlinear dissipative systems affected by time delay. This issue typically arises when testing highly nonlinear energy dissipation devices, commonly used in vibration control of civil structures, and carried out experimentally via a hybrid technique known as Real-Time Dynamic Substructuring (RTDS) simulation. Unfortunately, the RTDS simulation is affected by time delay in the control feedback loop due to the actuator response, sensor reading and numerical processing. In essence, this paper focuses on studying the nonlinear dynamics induced by the interaction of a dynamical system with the nonlinear damper affected by the presence of time delay. Given the complexity of the system, numerical analysis is carried out in the context of bifurcational behavior, and bifurcation diagrams are computed using a continuation method. The bifurcational analysis presented here, provides a characterization of delay-induced nonlinear phenomena created by the interaction of the dynamical system with a delayed nonlinear response of the dissipation device. Nonlinear dynamics are also identified and characterized for different damper types when varying the damper model parameters, leading to the identification of system conditions at which the testing arrangement and test specimens can exhibit undesired dynamics.

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Sarpeshkar, Rahul, and Micah O'Halloran. "Scalable Hybrid Computation with Spikes." Neural Computation 14, no. 9 (September 1, 2002): 2003–38. http://dx.doi.org/10.1162/089976602320263971.

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We outline a hybrid analog-digital scheme for computing with three important features that enable it to scale to systems of large complexity: First, like digital computation, which uses several one-bit precise logical units to collectively compute a precise answer to a computation, the hybrid scheme uses several moderate-precision analog units to collectively compute a precise answer to a computation. Second, frequent discrete signal restoration of the analog information prevents analog noise and offset from degrading the computation. And, third, a state machine enables complex computations to be created using a sequence of elementary computations. A natural choice for implementing this hybrid scheme is one based on spikes because spike-count codes are digital, while spike-time codes are analog. We illustrate how spikes afford easy ways to implement all three components of scalable hybrid computation. First, as an important example of distributed analog computation, we show how spikes can create a distributed modular representation of an analog number by implementing digital carry interactions between spiking analog neurons. Second, we show how signal restoration may be performed by recursive spike-count quantization of spike-time codes. And, third, we use spikes from an analog dynamical system to trigger state transitions in a digital dynamical system, which reconfigures the analog dynamical system using a binary control vector; such feedback interactions between analog and digital dynamical systems create a hybrid state machine (HSM). The HSM extends and expands the concept of a digital finite-state-machine to the hybrid domain. We present experimental data from a two-neuron HSM on a chip that implements error-correcting analog-to-digital conversion with the concurrent use of spike-time and spike-count codes. We also present experimental data from silicon circuits that implement HSM-based pattern recognition using spike-time synchrony. We outline how HSMs may be used to perform learning, vector quantization, spike pattern recognition and generation, and how they may be reconfigured.

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Tang, Guangyao, Jin Yang, and Sanyi Tang. "Qualitative Analysis of a Quadratic Integrate-and-Fire Neuron Model with State-Dependent Feedback Control." Discrete Dynamics in Nature and Society 2015 (2015): 1–12. http://dx.doi.org/10.1155/2015/836402.

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Spiking neuron models which exhibit rich dynamics are usually defined by hybrid dynamical systems. It is revealed that mathematical analysis of these models has important significance. Therefore, in this work, we provide a comprehensively qualitative analysis for a quadratic integrate-and-fire model by using the theories of hybrid dynamical system. Firstly, the exact impulsive and phase sets are defined according to the phase portraits of the proposed model, and then the Poincaré map is constructed. Furthermore, the conditions for the existence and stability of an order 1 periodic solution are provided. Moreover, the existence and nonexistence of an orderk k≥2periodic solution have been studied theoretically and numerically, and the results show that the system has periodic solutions with any period. Finally, some biological implications of the mathematical results are discussed.

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Ito, Daisuke, Tetsushi Ueta, Takuji Kousaka, Jun'ichi Imura, and Kazuyuki Aihara. "Controlling Chaos of Hybrid Systems by Variable Threshold Values." International Journal of Bifurcation and Chaos 24, no. 10 (October 2014): 1450125. http://dx.doi.org/10.1142/s0218127414501259.

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We try to stabilize unstable periodic orbits embedded in a given chaotic hybrid dynamical system by a perturbation of a threshold value. In conventional chaos control methods, a control input is designed by state-feedback, which is proportional to the difference between the target orbit and the current state, and it is applied to a specific system parameter or the state as a small perturbation. During a transition state, the control system consumes a certain control energy given by the integration of such perturbations. In our method, we change the threshold value dynamically to control the chaotic orbit. Unlike the OGY method and the delayed feedback control, no actual control input is added into the system. The state-feedback is utilized only to determine the dynamic threshold value, thus the orbit starting from the current threshold value reaches the next controlled threshold value without any control energy. We obtain the variation of the threshold value from the composite Poincaré map, and the controller is designed by the linear feedback theory with this variation. We demonstrate this method in simple hybrid chaotic systems and show its control performances by evaluating basins of attraction.

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Haddad, Wassim M., VijaySekhar Chellaboina, Qing Hui, and Sergey Nersesov. "Vector dissipativity theory for large-scale impulsive dynamical systems." Mathematical Problems in Engineering 2004, no. 3 (2004): 225–62. http://dx.doi.org/10.1155/s1024123x04310021.

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Modern complex large-scale impulsive systems involve multiple modes of operation placing stringent demands on controller analysis of increasing complexity. In analyzing these large-scale systems, it is often desirable to treat the overall impulsive system as a collection of interconnected impulsive subsystems. Solution properties of the large-scale impulsive system are then deduced from the solution properties of the individual impulsive subsystems and the nature of the impulsive system interconnections. In this paper, we develop vector dissipativity theory for large-scale impulsive dynamical systems. Specifically, using vector storage functions and vector hybrid supply rates, dissipativity properties of the composite large-scale impulsive systems are shown to be determined from the dissipativity properties of the impulsive subsystems and their interconnections. Furthermore, extended Kalman-Yakubovich-Popov conditions, in terms of the impulsive subsystem dynamics and interconnection constraints, characterizing vector dissipativeness via vector system storage functions, are derived. Finally, these results are used to develop feedback interconnection stability results for large-scale impulsive dynamical systems using vector Lyapunov functions.

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Phani, Vinod, Cyril Joseph, and Satya Narayan Agarwal. "Modeling of Mixed Logical Dynamical (MLD) Model to Hybrid Three Tank System." IJIREEICE 3, no. 5 (May 15, 2015): 211–12. http://dx.doi.org/10.17148/ijireeice.2015.3551.

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KIM, Jong-Hae, Soichiro HAYAKAWA, Tatsuya SUZUKI, Kazuaki HIRANA, Yoshimichi MATSUI, Shigeru OKUMA, Nuio TSUCHIDA, Masayuki SHIMIZU, and Shigeyuki KIDO. "Modeling of Human Driving Behavior Based on Expression as Hybrid Dynamical System." Transactions of the Society of Instrument and Control Engineers 40, no. 2 (2004): 180–88. http://dx.doi.org/10.9746/sicetr1965.40.180.

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Thorat, Laxminarayan, and Roger Skjetne. "Load-dependent start-stop of gensets modeled as a hybrid dynamical system." IFAC-PapersOnLine 50, no. 1 (July 2017): 9321–28. http://dx.doi.org/10.1016/j.ifacol.2017.08.1180.

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Dupuis, Jean-François, Zhun Fan, and Erik D. Goodman. "Evolutionary Design of Both Topologies and Parameters of a Hybrid Dynamical System." IEEE Transactions on Evolutionary Computation 16, no. 3 (June 2012): 391–405. http://dx.doi.org/10.1109/tevc.2011.2159724.

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