Journal articles on the topic 'Switching systems'

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1

Taylor, Wayne A. "Quick Switching Systems." Journal of Quality Technology 28, no. 4 (October 1996): 460–72. http://dx.doi.org/10.1080/00224065.1996.11979704.

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2

HALUŠKA, Renát, and Ľuboš OVSENÍK. "EXAMPLE OF SWITCHING HYBRID FSO/RF SYSTEMS." Acta Electrotechnica et Informatica 20, no. 4 (January 21, 2021): 27–31. http://dx.doi.org/10.15546/aeei-2020-0022.

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This article addresses the issue of optical communication with Free Space Optics (FSO) and its use. The article deals with the design and construction of a monitoring system designed for the collection and processing of data characterizing the nature of conditions along the transmission path of a hybrid FSO system with a radio communication link. Due to the vulnerability of the FSO transmission channel to weather conditions, it is necessary to predict the strength of the received signal and switch to a backup line based on machine learning using decision trees.
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3

Gao, Qiang, Matti Linjama, Miika Paloniitty, and Yuchuan Zhu. "Investigation on positioning control strategy and switching optimization of an equal coded digital valve system." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 234, no. 8 (November 7, 2019): 959–72. http://dx.doi.org/10.1177/0959651819884749.

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This article concerns high accuracy positioning control with switching optimization for an equal coded digital valve system. Typically, pulse number modulation control cannot realize micro-positioning due to the characteristics of step-wise flow variation, therefore, a new position controller consisting of a model-based pulse number modulation and a differential pulse width modulation strategy is proposed to control the position of a hydraulic cylinder at high and low velocity cases, respectively. In addition, in order to solve several problems caused by the pulse number modulation and differential pulse width modulation, such as increased number of switchings and large difference among number of switchings of valves, a switching optimization consisting of a switching cost function, a circular buffer and a circular switching method is proposed. An adaptive weight of the switching cost function is proposed for the first time to reduce the total number of switchings under different pressure differences and its design criterion is presented. A circular buffer and a new circular switching method are used to improve the degree of equal distribution of switchings when the pulse number modulation and differential pulse width modulation are used, respectively. Comparative experimental results indicated that the average and the minimum positioning error for the proposed controller are only 10 and 1 μm, respectively. The number of switchings and the degree of equal distribution of switchings are significantly optimized. Moreover, the pressure fluctuations caused by the proposed controller remain acceptable.
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4

Chen, J., L. Yan, and Y. Li. "Switching systems and switching software development in China." IEEE Communications Magazine 31, no. 7 (July 1993): 56–60. http://dx.doi.org/10.1109/35.222479.

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5

Amigó, José M., Peter E. Kloeden, and Ángel Giménez. "Switching systems and entropy." Journal of Difference Equations and Applications 19, no. 11 (November 2013): 1872–88. http://dx.doi.org/10.1080/10236198.2013.788166.

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6

Mody, Ashoka, and Ron Sherman. "Leapfrogging in switching systems." Technological Forecasting and Social Change 37, no. 1 (March 1990): 77–83. http://dx.doi.org/10.1016/0040-1625(90)90060-9.

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7

Bortakovsky, A. S., and I. V. Uryupin. "COMPUTER TECHNOLOGY OF SYNTHESIS OPTIMAL LINEAR SWITCHED SYSTEMS." Vestnik komp'iuternykh i informatsionnykh tekhnologii, no. 185 (November 2019): 13–20. http://dx.doi.org/10.14489/vkit.2019.11.pp.013-020.

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The linear-quadratic problem of synthesis optimal control of switched systems is considered. Continuous change of state of the system is described by linear differential equations, and instantaneous discrete changes of state (switching) – linear recurrent equations. The moments of switching, and their number is not prespecified. The quality of control is characterized by a quadratic functional, which takes into account the cost of each switch. The considered problem generalizes the classical linear-quadratic problems of optimal control of continuous, discrete and continuous-discrete systems, transferring them to a new class of dynamic systems – switchable (hybrid) control systems. Together with the problem of optimal control synthesis, the problem of minimizing the number of switchings, characteristic of hybrid systems, is relevant. The peculiarity of the synthesis of optimal switchable systems is that the price function in the considered problem is not quadratic. Therefore, it is proposed to build a price function from auxiliary, so-called price moment functions, each of which is defined as the minimum value of the quality functional at fixed switching moments and is quadratic. At the same time, the optimal positional control, linear in state, depends nonlinearly on switching moments. Optimization of these moments becomes the last stage of the synthesis. The proposed computer-aided synthesis technology makes it possible to find the optimal “controlling complex”, including the number of switches, the switching moments, as well as the control of continuous and discrete movements of the system. The application of the developed technology is demonstrated on an academic example of synthesis.
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8

Liu, Jiao, and Le Kang. "New results on stability and L1-gain characterization for switched positive systems: A persistent dwell time approach." Transactions of the Institute of Measurement and Control 44, no. 6 (October 22, 2021): 1288–96. http://dx.doi.org/10.1177/01423312211053325.

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This paper is concerned with the problem of stability and L1-gain characterization for a class of switched positive systems consisting of both stable and unstable subsystems. Such systems can be modeled ingeniously as switched positive systems satisfying persistent dwell time switching. Compared to the widely used dwell time and average dwell time switching in the previous literature, persistent dwell time switching is more general due to its covering such two switchings as special cases. A new sufficient criterion ensuring the stability of switched positive systems is derived by using a persistent dwell time approach. And then an unweighted L1-gain is computed by solving a linear programming problem. The presented method in this paper may decrease the conservatism. Finally, the effectiveness and advantage of the provided method are illustrated with an example.
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9

Zhong, Fu Jian, and Yong Chi Zhao. "Stability Analysis Switched Systems." Applied Mechanics and Materials 389 (August 2013): 685–91. http://dx.doi.org/10.4028/www.scientific.net/amm.389.685.

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In this note, we have derived stability for arbitrary switching about absolutely stable subsystem and the stability problem has derived stability for arbitrary switching above all. In the next place we analyze detailed stability for the dwell time switching. In the end, we discuss that the switched system exist stable convex combination switching. At last, we give several numerical results are given to illustrate our derived results.
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10

Xingyuan, Wang, and Qin Xue. "Chaos Generated by Switching Fractional Systems." Mathematical Problems in Engineering 2012 (2012): 1–15. http://dx.doi.org/10.1155/2012/601309.

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We, for the first time, investigate the basic behaviours of a chaotic switching fractional system via both theoretical and numerical ways. To deeply understand the mechanism of the chaos generation, we also analyse the parameterization of the switching fractional system and the dynamics of the system's trajectory. Then we try to write down some detailed rules for designing chaotic or chaos-like systems by switching fractional systems, which can be used in the future application. At last, for the first time, we proposed a new switching fractional system, which can generate three attractors with the positive largest Lyapunov exponent.
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11

Zhang, Yuping, Xinzhi Liu, Huaiyue Zhang, and Chunhua Jia. "Constructing Chaotic Systems from a Class of Switching Systems." International Journal of Bifurcation and Chaos 28, no. 02 (February 2018): 1850032. http://dx.doi.org/10.1142/s0218127418500323.

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This paper aims to develop an approach for constructing chaotic systems from a class of linear continuous-time switching systems. First, the Shilnikov criterion is analyzed and extended to the switching systems. Then some kinds of “swing planes” are provided via a heteroclinic loop design, which act as switching planes to chaotify the systems. Furthermore, a numerical example is presented to validate the proposed principle and implementation scheme. The theoretical analysis and numerical simulation have demonstrated the feasibility and effectiveness of the developed techniques.
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12

Qian, Wei, Shen Cong, and Zheng Zheng. "Output-Feedback Stabilization Control of Systems with Random Switchings and State Jumps." Abstract and Applied Analysis 2014 (2014): 1–5. http://dx.doi.org/10.1155/2014/865451.

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The work is concerned with output-feedback stabilization control problem for a class of systems with random switchings and state jumps. The switching signal is supposed to obey Poisson distribution. Firstly, based on the asymptotical property of the distribution of switching points, we derive some sufficient conditions to guarantee the closed-loop system to be almost surely exponentially stable. Then, we pose a parametrization approach to convert the construction conditions of the output-feedback control into a family of matrix inequalities. Finally, a simulation example is given to demonstrate the effectiveness of our method.
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13

Mishra, R. V., T. Gupta, A. Patel, R. Kumar, I. Kaur, and V. Batra. "Transforming Conventional Switching Systems to Cost-Effective, Adaptable, Energy-Efficient Smart Switching Systems." Journal of Scientific Research 15, no. 1 (January 1, 2023): 85–93. http://dx.doi.org/10.3329/jsr.v15i1.60070.

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Reducing energy consumption in the household and commercial sectors is a major global concern. Our objective is to develop a low-cost automation solution that will help improve adoption and reduce energy consumption. Proposed system has functionality that will help typical Indian households reduce electricity consumption in areas of infrequent usage such as stairs, and parking areas where manual switching of the electricity is difficult. In our proposed model, a manual switching system is replaced with a low-cost and adaptable smart automated switching system. Our design is based on the Passive/Pyroelectric Infrared Rays (PIR) motion-sensing mechanism where motion is used as a trigger to turn on/off electrical appliances. Detailed comparative analysis of daily energy usage of traditional switching with intelligent switching showed reduced electricity consumption by 33 %. Lower cost of equipment will increase the adoption of automated systems, leading to a reduction in electricity consumption. Further, a drop in energy consumption means reduced energy costs and less burden on the grid which leads to a clean environment.
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14

Hadji, N., and A. Rahmani. "A Bond graph switching observer for switching linear systems." IFAC Proceedings Volumes 45, no. 2 (2012): 299–304. http://dx.doi.org/10.3182/20120215-3-at-3016.00052.

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15

Li, R., Z. G. Feng, K. L. Teo, and G. R. Duan. "Tracking control of linear switched systems." ANZIAM Journal 49, no. 2 (October 2007): 187–203. http://dx.doi.org/10.1017/s1446181100012773.

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AbstractThis paper deals with the optimal tracking problem for switched systems, where the control input, the switching times and the switching index are all design variables. We propose a three-stage method for solving this problem. First, we fix the switching times and switching index sequence, which leads to a linear tracking problem, except different subsystems are defined in their respective time intervals. The optimal control and the corresponding cost function obtained depend on the switching signal. This gives rise to an optimal parameter selection problem for which the switching instants and the switching index are to be chosen optimally. In the second stage, the switching index is fixed. A reverse time transformation followed by a time scaling transform are introduced to convert this subproblem into an equivalent standard optimal parameter selection problem. The gradient formula of the cost function is derived. Then the discrete filled function is used in the third stage to search for the optimal switching index. On this basis, a computational method, which combines a gradient-based method, a local search algorithm and a filled function method, is developed for solving this problem. A numerical exampleis solved, showing the effectiveness of the proposed approach.
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16

Zhai, Guisheng, and Xuping Xu. "A unified approach to stability analysis of switched linear descriptor systems under arbitrary switching." International Journal of Applied Mathematics and Computer Science 20, no. 2 (June 1, 2010): 249–59. http://dx.doi.org/10.2478/v10006-010-0018-2.

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A unified approach to stability analysis of switched linear descriptor systems under arbitrary switchingWe establish a unified approach to stability analysis for switched linear descriptor systems under arbitrary switching in both continuous-time and discrete-time domains. The approach is based on common quadratic Lyapunov functions incorporated with linear matrix inequalities (LMIs). We show that if there is a common quadratic Lyapunov function for the stability of all subsystems, then the switched system is stable under arbitrary switching. The analysis results are natural extensions of the existing results for switched linear state space systems.
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17

Andriyanova, Natalya R. "Stability of Lurie-type systems with asynchronous and synchronous switching and constant delays." Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes 19, no. 3 (2023): 320–36. http://dx.doi.org/10.21638/11701/spbu10.2023.302.

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The problems of analysis for systems with synchronous and asynchronous switching have been actively studied for the linear case. In this paper, a switched system of difference-differential equations, in which the right-hand side consists of a linear term and an essentially nonlinear part containing sector-type components is considered. This kind of systems belongs to the class of Lurie indirect control systems. Sufficient conditions on the system parameters and the switching law are investigated for asymptotic stability to be guaranteed both in the case of synchronous switching between subsystems and in asynchronous one. In the latter case it is supposed that the nonlinear delayed part switches with a lag equal to the corresponding delay. It is required that stability should be preserved for any constant positive delays. The problem is solved using the Lyapunov — Krasovsky approach. The functional is chosen that includes a quadratic form and integrals of nonlinearities. Restrictions that ensure asymptotic stability for an arbitrary switching law are found. With such an approach for the asynchronous case these conditions turn out to be less restrictive. By using multiple functionals the restrictions on the lengths of intervals between switchings are also obtained. This type of conditions are similar for both cases of synchronous and asynchronous switching. Theoretical results are demonstrated by a specially selected example.
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18

Kaczorek, T. "Stability of positive fractional switched continuous-time linear systems." Bulletin of the Polish Academy of Sciences: Technical Sciences 61, no. 2 (June 1, 2013): 349–52. http://dx.doi.org/10.2478/bpasts-2013-0033.

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Abstract The asymptotic stability of positive fractional switched continuous-time linear systems for any switching is addressed. Simple sufficient conditions for the asymptotic stability of the positive fractional systems are established. It is shown that the positive fractional switched systems are asymptotically stable for any switchings if the sum of entries of every column of the matrices of all subsystems is negative.
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19

Ghazanfar, Mustansar Ali. "Experimenting switching hybrid recommender systems." Intelligent Data Analysis 19, no. 4 (July 1, 2015): 845–77. http://dx.doi.org/10.3233/ida-150748.

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20

Kabacinski, W. "Telephone switching systems [Book Review]." IEEE Communications Magazine 39, no. 6 (June 2001): 20–22. http://dx.doi.org/10.1109/mcom.2001.925666.

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21

Hughes, C. J. "Private Switching Systems and Networks." IEE Review 35, no. 1 (1989): 36. http://dx.doi.org/10.1049/ir:19890015.

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22

Hughes, Charles. "Private Switching Systems and Networks." IEE Review 38, no. 11-12 (1992): 405. http://dx.doi.org/10.1049/ir:19920172.

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23

Hughes, C. J. "Private Switching Systems and Networks." Electronics & Communications Engineering Journal 1, no. 2 (1989): 90. http://dx.doi.org/10.1049/ecej:19890014.

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24

Kloeden, P. E. "Nonautonomous attractors of switching systems." Dynamical Systems 21, no. 2 (June 2006): 209–30. http://dx.doi.org/10.1080/14689360500446262.

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25

Sarafyan, V. V., and A. V. Skorokhod. "On Fast-Switching Dynamical Systems." Theory of Probability & Its Applications 32, no. 4 (December 1988): 595–607. http://dx.doi.org/10.1137/1132092.

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26

Abdelwahed, Sherif, Gabor Karsai, and Gautam Biswas. "Robust Diagnosis of Switching Systems." IFAC Proceedings Volumes 36, no. 5 (June 2003): 765–70. http://dx.doi.org/10.1016/s1474-6670(17)36585-0.

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27

McDaniel, Dwayne, Andrew J. Kurdila, and Norman Fitz-Coy. "Modal Scheduling and Switching Systems." Journal of Aerospace Engineering 17, no. 4 (October 2004): 146–53. http://dx.doi.org/10.1061/(asce)0893-1321(2004)17:4(146).

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28

HINTON, H. S. "PHOTONIC SWITCHING IN COMMUNICATIONS SYSTEMS." Le Journal de Physique Colloques 49, no. C2 (June 1988): C2–5—C2–10. http://dx.doi.org/10.1051/jphyscol:1988202.

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29

Campos-Cantón, E., J. G. Barajas-Ramírez, G. Solís-Perales, and R. Femat. "Multiscroll attractors by switching systems." Chaos: An Interdisciplinary Journal of Nonlinear Science 20, no. 1 (March 2010): 013116. http://dx.doi.org/10.1063/1.3314278.

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30

BENGEA, S., and R. DECARLO. "Optimal control of switching systems☆." Automatica 41, no. 1 (January 2005): 11–27. http://dx.doi.org/10.1016/s0005-1098(04)00223-7.

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31

De Santis, E., M. D. Di Benedetto, and G. Pola. "Stabilizability of linear switching systems." Nonlinear Analysis: Hybrid Systems 2, no. 3 (August 2008): 750–64. http://dx.doi.org/10.1016/j.nahs.2007.11.007.

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32

Bortakovskii, A. S. "Optimality Criterion for Switching Systems." Journal of Mathematical Sciences 219, no. 1 (October 4, 2016): 35–47. http://dx.doi.org/10.1007/s10958-016-3081-x.

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33

Dayawansa, W. P., and C. F. Martin. "Dynamical systems which undergo switching." IEEE Transactions on Automatic Control 44, no. 4 (April 1999): 751–60. http://dx.doi.org/10.1109/9.754812.

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34

Amigó, José, Peter Kloeden, and Ángel Giménez. "Entropy Increase in Switching Systems." Entropy 15, no. 12 (June 7, 2013): 2363–83. http://dx.doi.org/10.3390/e15062363.

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35

Zegura, E. W. "Architectures for ATM switching systems." IEEE Communications Magazine 31, no. 2 (February 1993): 28–37. http://dx.doi.org/10.1109/35.186359.

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36

Hinton, H. S. "Photonic time-division switching systems." IEEE Circuits and Devices Magazine 5, no. 4 (July 1989): 39–43. http://dx.doi.org/10.1109/101.29901.

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37

Pattavina, Achille. "Broadband switching systems: First generation." European Transactions on Telecommunications 2, no. 1 (January 1991): 75–87. http://dx.doi.org/10.1002/ett.4460020109.

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38

Bengea, Sorin C., and Raymond A. DeCarlo. "Optimal control of switching systems." Automatica 41, no. 1 (January 2005): 11–27. http://dx.doi.org/10.1016/j.automatica.2004.08.003.

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39

JOHNSON, STEWART D. "SIMPLE HYBRID SYSTEMS." International Journal of Bifurcation and Chaos 04, no. 06 (December 1994): 1655–65. http://dx.doi.org/10.1142/s021812749400126x.

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A hybrid system is one which can instantaneously switch between a number of phase portraits. Switching occurs when trajectories hit prescribed switching curves. This type of system is highly applicable to digital controls such as robotic controls. A working definition of such a system is given, as well as a method for stabilizing periodic orbits and several examples.
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40

Jeffrey, Mike R. "Hidden Degeneracies in Piecewise Smooth Dynamical Systems." International Journal of Bifurcation and Chaos 26, no. 05 (May 2016): 1650087. http://dx.doi.org/10.1142/s0218127416500875.

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When a flow suffers a discontinuity in its vector field at some switching surface, the flow can cross through or slide along the surface. Sliding along the switching surface can be understood as the flow along an invariant manifold inside a switching layer. It turns out that the usual method for finding sliding modes — the Filippov convex combination or Utkin equivalent control — results in a degeneracy in the switching layer whenever the flow is tangent to the switching surface from both sides. We derive the general result and analyze the simplest case here, where the flow curves parabolically on either side of the switching surface (the so-called fold–fold or two-fold singularities). The result is a set of zeros of the fast switching flow inside the layer, which is structurally unstable to perturbation by terms nonlinear in the switching parameter, terms such as [Formula: see text] [where the superscript does mean “squared”]. We provide structurally stable forms, and show that in this form the layer system is equivalent to a generic singularity of a two timescale system. Finally we show that the same degeneracy arises when a discontinuity is smoothed using standard regularization methods.
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41

Hamdaoui, R., and M. N. Abdelkrim. "Fault Tolerant Systems viewed as Switching Hybrid Systems." International Journal of Computer Applications 38, no. 6 (January 28, 2012): 1–6. http://dx.doi.org/10.5120/4609-6821.

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42

Domlan, Elom Ayih, José Ragot, and Didier Maquin. "Switching Systems: Active Mode Recognition, Identification of the Switching Law." Journal of Control Science and Engineering 2007 (2007): 1–11. http://dx.doi.org/10.1155/2007/50796.

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The problem of the estimation of the discrete state of a switching system is studied. The knowledge of the switching law is essential for this kind of system as it simplifies their manipulation for control purposes. This paper investigates the use of a model-based diagnosis method for the determination of the active mode at each time point based on the system input/output data. The issue of the parametric identification of the switching law is also addressed.
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43

Philippe, Matthew, Ray Essick, Geir E. Dullerud, and Raphaël M. Jungers. "Stability of discrete-time switching systems with constrained switching sequences." Automatica 72 (October 2016): 242–50. http://dx.doi.org/10.1016/j.automatica.2016.05.015.

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44

Gupta, Anil K., Luis Orozco Barbosa, and N. D. Georganas. "Switching modules for ATM switching systems and their interconnection networks." Computer Networks and ISDN Systems 26, no. 4 (December 1993): 433–45. http://dx.doi.org/10.1016/0169-7552(93)90081-e.

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45

Asimakopoulos, Grigorios, and Stavros Asimakopoulos. "Understanding switching intention of information systems users." Industrial Management & Data Systems 114, no. 4 (May 6, 2014): 583–96. http://dx.doi.org/10.1108/imds-10-2013-0412.

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Purpose – The purpose of this paper is to reveal the impact of usability and switching costs on user intention to switch information systems (IS), and to examine the mediating role of switching costs on the usability-intention to switch relationship. Design/methodology/approach – Using structural equation modeling, the research hypotheses tested in the context of forecasting IS using a web-based survey of 205 business forecasters. Findings – Results show that both perceived usability and switching costs negatively affect intention to switch; and switching costs, through specific constructs, mediate the relationship between usability and intention to switch IS. Research limitations/implications – Further research is needed for a more comprehensive understanding of the role of switching costs and to test the model in a longitudinal study and across different types of IS. Originality/value – This research contributes to a better understanding of the interplay between usability and switching costs factors and their impact on IS switching user intention. Based on the study findings, theoretical and practical implications for IS are identified and discussed.
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46

Jeffrey, Mike R. "Hidden Bifurcations and Attractors in Nonsmooth Dynamical Systems." International Journal of Bifurcation and Chaos 26, no. 04 (April 2016): 1650068. http://dx.doi.org/10.1142/s0218127416500681.

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We investigate the role of hidden terms at switching surfaces in piecewise smooth vector fields. Hidden terms are zero everywhere except at the switching surfaces, but appear when blowing up the switching surface into a switching layer. When discontinuous systems do surprising things, we can often make sense of them by extending our intuition for smooth system to the switching layer. We illustrate the principle here with a few attractors that are hidden inside the switching layer, being evident in the flow, despite not being directly evident in the vector field outside the switching surface. These can occur either at a single switch (where we will introduce hidden terms somewhat artificially to demonstrate the principle), or at the intersection of multiple switches (where hidden terms arise inescapably). A more subtle role of hidden terms is in bifurcations, and we revisit some simple cases from previous literature here, showing that they exhibit degeneracies inside the switching layer, and that the degeneracies can be broken using hidden terms. We illustrate the principle in systems with one or two switches.
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47

SHARABY, Y. A., and S. S. HASSAN. "DISPERSIVE SWITCHING IN MESOSCOPIC MULTISTABLE SYSTEMS." Journal of Nonlinear Optical Physics & Materials 17, no. 03 (September 2008): 339–47. http://dx.doi.org/10.1142/s0218863508004202.

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Dispersive switching effect is examined for a mesoscopic system of coherently injected two-level Rydberg atoms into a driven single-mode superconducting cavity. The effect concerns the switching of the output field by simultaneously varying the atomic and cavity detuning parameters at fixed values of the coherent driving field. For certain atomic coherence parameters, symmetric and asymmetric switching diagrams are exhibited, which include one- and two-way process via multistep transitions between output field states.
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48

Do, Xuan Phu, Mien Van, and Ngoc Phi Nguyen. "A novel switching adaptive control for randomly switching systems with an application to suspension systems." European Journal of Control 65 (May 2022): 100635. http://dx.doi.org/10.1016/j.ejcon.2022.100635.

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49

Pan, Lijun, Jinde Cao, and Ahmed Alsaedi. "Stability of reaction–diffusion systems with stochastic switching." Nonlinear Analysis: Modelling and Control 24, no. 3 (April 23, 2019): 315–31. http://dx.doi.org/10.15388/na.2019.3.1.

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In this paper, we investigate the stability for reaction systems with stochastic switching. Two types of switched models are considered: (i) Markov switching and (ii) independent and identically distributed switching. By means of the ergodic property of Markov chain, Dynkin formula and Fubini theorem, together with the Lyapunov direct method, some sufficient conditions are obtained to ensure that the zero solution of reaction–diffusion systems with Markov switching is almost surely exponential stable or exponentially stable in the mean square. By using Theorem 7.3 in [R. Durrett, Probability: Theory and Examples, Duxbury Press, Belmont, CA, 2005], we also investigate the stability of reaction–diffusion systems with independent and identically distributed switching. Meanwhile, an example with simulations is provided to certify that the stochastic switching plays an essential role in the stability of systems.
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50

Wu, Chen-Yu. "Event-based switching control for production inventory systems with time-varying delays." Transactions of the Institute of Measurement and Control 42, no. 9 (December 30, 2019): 1585–93. http://dx.doi.org/10.1177/0142331219892147.

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This paper investigates event-based switching control for production inventory systems with time-varying delays. The different subsystems are established to describe the fact that the different production rates are adjusted to meet the different customer needs, and the conditions of average dwelling time are used to constrain the switchings. The event-triggered scheme, where the event generates when the relative error between the current review-data and the last transmission review-data exceeds a certain threshold, depicts the transmission of raw materials (or finished products) in practice. Then, the sufficient conditions of exponentially stable with a prescribed disturbance attenuation level [Formula: see text] and controller synthesis are formulated as linear matrix inequalitiess for the production inventory switching systems. A numerical example is presented to illustrate the effectiveness of the proposed method.
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