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Journal articles on the topic 'Stability of hybrid systems'

Author: Grafiati

Published: 1 February 2025

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1

LI, ZHENGGUO, CHEONG BOON SOH, and XINHE XU. "Stability of hybrid dynamic systems." International Journal of Systems Science 28, no. 8 (July 1997): 837–46. http://dx.doi.org/10.1080/00207729708929444.

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2

Martynyuk, A. A. "Practical stability of hybrid systems." Soviet Applied Mechanics 25, no. 2 (February 1989): 194–200. http://dx.doi.org/10.1007/bf00888136.

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3

Bychkov, A. S., and M. G. Merkur’ev. "Stability of continuous hybrid systems." Cybernetics and Systems Analysis 43, no. 2 (March 2007): 261–65. http://dx.doi.org/10.1007/s10559-007-0045-7.

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4

Lirong Huang, Xuerong Mao, and Feiqi Deng. "Stability of Hybrid Stochastic Retarded Systems." IEEE Transactions on Circuits and Systems I: Regular Papers 55, no. 11 (December 2008): 3413–20. http://dx.doi.org/10.1109/tcsi.2008.2001825.

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5

Biemond, J. J. Benjamin, Romain Postoyan, W. P. Maurice H. Heemels, and Nathan van de Wouw. "Incremental Stability of Hybrid Dynamical Systems." IEEE Transactions on Automatic Control 63, no. 12 (December 2018): 4094–109. http://dx.doi.org/10.1109/tac.2018.2830506.

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6

Minh, Vu Trieu. "Stability for switched dynamic hybrid systems." Mathematical and Computer Modelling 57, no. 1-2 (January 2013): 78–83. http://dx.doi.org/10.1016/j.mcm.2011.05.055.

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7

Maria, G. A., C. Tang, and J. Kim. "Hybrid transient stability analysis (power systems)." IEEE Transactions on Power Systems 5, no. 2 (May 1990): 384–93. http://dx.doi.org/10.1109/59.54544.

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8

Hui Ye, A. N. Michel, and Ling Hou. "Stability theory for hybrid dynamical systems." IEEE Transactions on Automatic Control 43, no. 4 (April 1998): 461–74. http://dx.doi.org/10.1109/9.664149.

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9

Sisodiya, Priyanka, and Dr Anil Kumar Kori. "Review on Power Quality of Hybrid Renewable Energy System." International Journal for Research in Applied Science and Engineering Technology 10, no. 7 (July 31, 2022): 1439–43. http://dx.doi.org/10.22214/ijraset.2022.44874.

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Abstract: It is now essential for power and energy engineers to keep an eye out for sustainable, economical and environmental friendly alternatives to conventional energy sources, such as the sun, wind, geothermal, ocean, and biomass. However, these renewable energy sources are not always available throughout the year, so the hybrid renewable energy systems concept has come. Hybrid renewable energy system is the best choice for power generation. However, In these kind of systems, stability issues may arise. This is a review of the hybrid power system's stability. This paper analyses the stability issue and discusses various controllers that have an impact on the hybrid power system's output power. Stability and power quality are the two main issues with hybrid systems. Numerous fact devices and other techniques are used to improve these issues. The use of hybrid power systems is growing today. The majority of the work is based on using various controllers and controlling techniques to generate the most power possible from a hybrid system while maintaining power quality.

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10

Yang, Ying, and Guopei Chen. "Finite Time Stability of Stochastic Hybrid Systems." Abstract and Applied Analysis 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/867189.

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This paper considers the finite time stability of stochastic hybrid systems, which has both Markovian switching and impulsive effect. First, the concept of finite time stability is extended to stochastic hybrid systems. Then, by using common Lyapunov function and multiple Lyapunov functions theory, two sufficient conditions for finite time stability of stochastic hybrid systems are presented. Furthermore, a new notion called stochastic minimum dwell time is proposed and then, combining it with the method of multiple Lyapunov functions, a sufficient condition for finite time stability of stochastic hybrid systems is given. Finally, a numerical example is provided to illustrate the theoretical results.

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11

Bisht, Yashwant Singh, Ediga Poornima, Sai Chander Aysola, Saksham Sood, Zaid Ajzan Balassem, Sourabh Kumar, Pancham Cajla, and Utkal Khandelwal. "Hybrid Renewable Energy System Design using Multi-Objective Optimization." E3S Web of Conferences 581 (2024): 01036. http://dx.doi.org/10.1051/e3sconf/202458101036.

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This study investigates the significant changes brought about by hybrid in renewable energy systems. It specifically examines the creation and analysis of hybrids to enhance energy conversion procedures. Graphene hybrids have remarkable potential, with a surface area of 200 m²/g and resulting in a significant 20% increase in energy conversion efficiency, achieving an astonishing 78% compared to control samples. The electrical output metrics highlight the superiority of systems enabled by hybrid, with graphene exhibiting a 20% increase in power production at 1.2 W. Stability assessments focus on the long-term sustainability, with graphene achieving a stability score of 9, suggesting strong and reliable performance. The results demonstrate the exceptional potential of hybrid, namely graphene, to transform the renewable energy sector, offering a significant improvement in efficiency and system stability.

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12

Haddad, Wassim M., Vijaysekhar Chellaboina, and Sergey G. Nersesov. "Hybrid nonnegative and computational dynamical systems." Mathematical Problems in Engineering 8, no. 6 (2002): 493–515. http://dx.doi.org/10.1080/1024123021000066426.

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Nonnegative and Compartmental dynamical systems are governed by conservation laws and are comprised of homogeneous compartments which exchange variable nonnegative quantities of material via intercompartmental flow laws. These systems typically possess hierarchical (and possibly hybrid) structures and are remarkably effective in capturing the phenomenological features of many biological and physiological dynamical systems. In this paper we develop several results on stability and dissipativity of hybrid nonnegative and Compartmental dynamical systems. Specifically, usinglinearLyapunov functions we develop sufficient conditions for Lyapunov and asymptotic stability for hybrid nonnegative dynamical systems. In addition, usinglinearandnonlinearstorage functions withlinearhybrid supply rates we developnewnotions of dissipativity theory for hybrid nonnegative dynamical systems. Finally, these results are used to develop general stability criteria for feedback interconnections of hybrid nonnegative dynamical systems.

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13

Papachristodoulou, A., and S. Prajna. "Robust Stability Analysis of Nonlinear Hybrid Systems." IEEE Transactions on Automatic Control 54, no. 5 (May 2009): 1035–41. http://dx.doi.org/10.1109/tac.2009.2017155.

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14

Soh, C. B. "Robust stability of perturbed periodic hybrid systems." International Journal of Systems Science 30, no. 8 (January 1999): 811–21. http://dx.doi.org/10.1080/002077299291930.

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15

Shorten, Robert, Fabian Wirth, Oliver Mason, Kai Wulff, and Christopher King. "Stability Criteria for Switched and Hybrid Systems." SIAM Review 49, no. 4 (January 2007): 545–92. http://dx.doi.org/10.1137/05063516x.

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16

Kamenetskiy, V. A. "Frequency-domain stability conditions for hybrid systems." Automation and Remote Control 78, no. 12 (December 2017): 2101–19. http://dx.doi.org/10.1134/s0005117917120013.

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17

Michel, Anthony N., and Bo Hu. "Stability Analysis of Interconnected Hybrid Dynamical Systems." IFAC Proceedings Volumes 31, no. 20 (July 1998): 677–82. http://dx.doi.org/10.1016/s1474-6670(17)41874-x.

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18

Zhang, Ben-gong, Luonan Chen, and Kazuyuki Aihara. "Incremental stability analysis of stochastic hybrid systems." Nonlinear Analysis: Real World Applications 14, no. 2 (April 2013): 1225–34. http://dx.doi.org/10.1016/j.nonrwa.2012.09.013.

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19

Cai, Chaohong, and Andrew R. Teel. "Output-to-state stability for hybrid systems." Systems & Control Letters 60, no. 1 (January 2011): 62–68. http://dx.doi.org/10.1016/j.sysconle.2010.10.007.

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20

Goebel, Rafal, Joao Hespanha, Andrew R. Teel, Chaohong Cai, and Ricardo Sanfelice. "Hybrid systems: Generalized solutions and robust stability." IFAC Proceedings Volumes 37, no. 13 (September 2004): 1–12. http://dx.doi.org/10.1016/s1474-6670(17)31194-1.

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21

Piroddi, L. "Hybrid neural control systems: Some stability properties." Journal of the Franklin Institute 349, no. 3 (April 2012): 826–44. http://dx.doi.org/10.1016/j.jfranklin.2011.11.008.

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22

Nešić, Dragan, Andrew R. Teel, Giorgio Valmorbida, and Luca Zaccarian. "Finite-gain stability for hybrid dynamical systems." Automatica 49, no. 8 (August 2013): 2384–96. http://dx.doi.org/10.1016/j.automatica.2013.05.003.

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23

Xing-cheng, Pu, and Yuan Wei. "Stability of Hybrid Stochastic Systems with Time-Delay." ISRN Mathematical Analysis 2014 (March 17, 2014): 1–8. http://dx.doi.org/10.1155/2014/423413.

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This paper develops some criteria for a kind of hybrid stochastic systems with time-delay, which improve existing results on hybrid systems without considering noises. The improved results show that the presence of noise is quite involved in the stability analysis of hybrid systems. New results can be used to analyze the stability of a kind of stochastic hybrid impulsive and switching neural networks (SHISNN). Therefore, stability analysis of SHISNN can be turned into solving a linear matrix inequality (LMI).

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24

M. MULYUKOV, M. MULYUKOV. "THE ASYMPTOTIC STABILITY OF THE SIMPLEST HYBRID SYSTEMS." Functional Differential Equations 30, no. 1 (2023): 77–86. http://dx.doi.org/10.26351/fde/30/1-2/6.

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The linear autonomous discrete-continuous systems (also known as hybrid systems) with uncertain coefficients is considered. We consider the class of hybrid systems, that consist of difference and ordinary differential equations. We obtain a stability domain for hybrid systems from this class. Two illustrative examples are presented

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25

Pu, Xing Cheng, and Fan Hai Zeng. "On Hybrid Impulsive and Switching Stochastic Systems." Advanced Materials Research 225-226 (April 2011): 268–74. http://dx.doi.org/10.4028/www.scientific.net/amr.225-226.268.

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This article formulates and studies a model of Hybrid Impulsive and Switching Stochastic Systems (HISSS). Using integral Inequality、Ito Isometry、The Gronwall Inequality、Doob’s martingale Inequality and Borel-Cantelli Lemma, we has got a existing and unique result for HISSS. On the other hand, to the best of author’s knowledge, date up to now, seldom stability result has been arrived for HISSS. In order to fill this gap, p—moment asymptotic stability and p—moment exponential stability are considered. Some theorems on p—moment asymptotic stability and p—moment exponential stability of HISSS are established by using Lyapunov-Krasovskii function and stochastic analysis theory.

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26

Maia, Matheus Valentin, Eryvaldo Sócrates Tabosa do Egito, Anne Sapin-Minet, Daniel Bragança Viana, Ashok Kakkar, and Daniel Crístian Ferreira Soares. "Fibroin-Hybrid Systems: Current Advances in Biomedical Applications." Molecules 30, no. 2 (January 15, 2025): 328. https://doi.org/10.3390/molecules30020328.

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Fibroin, a protein extracted from silk, offers advantageous properties such as non-immunogenicity, biocompatibility, and ease of surface modification, which have been widely utilized for a variety of biomedical applications. However, in vivo studies have revealed critical challenges, including rapid enzymatic degradation and limited stability. To widen the scope of this natural biomacromolecule, the grafting of polymers onto the protein surface has been advanced as a platform to enhance protein stability and develop smart conjugates. This review article brings into focus applications of fibroin-hybrid systems prepared using chemical modification of the protein with polymers and inorganic compounds. A selection of recent preclinical evaluations of these hybrids is included to highlight the significance of this approach.

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27

Ruswandi, Dedi, Elia Azizah, Haris Maulana, Mira Ariyanti, Anne Nuraini, Nyimas Poppy Indriani, and Yuyun Yuwariah. "Selection of high-yield maize hybrid under different cropping systems based on stability and adaptability parameters." Open Agriculture 7, no. 1 (January 1, 2022): 161–70. http://dx.doi.org/10.1515/opag-2022-0073.

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Abstract The intercropping of maize with other food crops is a current solution to problems in food crop production and crop failures. The objectives of the study were to (i) select adaptive maize hybrids in intercropping as well as sole-cropping systems, and (ii) test the ideal cropping system to evaluate best hybrids for intercropping. This study used 12 maize hybrids with different genetic backgrounds. Planting was carried out for two seasons using four cropping systems. Hybrids were selected according to their adaptability and stability based on parametric, nonparametric, and multivariate analyses. The results showed that G10 had high yield for all cropping systems. G10 was also selected as an adaptive hybrid for sole-cropping, whereas G9 was selected as an adaptive hybrid for intercropping. The L5 and L4 were ideal environments for evaluating hybrids under different cropping systems. The selected hybrids should be evaluated and disseminated for small-holder farmers in Indonesia.

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28

Leth, John, and Rafael Wisniewski. "Local analysis of hybrid systems on polyhedral sets with state-dependent switching." International Journal of Applied Mathematics and Computer Science 24, no. 2 (June 26, 2014): 341–55. http://dx.doi.org/10.2478/amcs-2014-0026.

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Abstract This paper deals with stability analysis of hybrid systems. Various stability concepts related to hybrid systems are introduced. The paper advocates a local analysis. It involves the equivalence relation generated by reset maps of a hybrid system. To establish a tangible method for stability analysis, we introduce the notion of a chart, which locally reduces the complexity of the hybrid system. In a chart, a hybrid system is particularly simple and can be analyzed with the use of methods borrowed from the theory of differential inclusions. Thus, the main contribution of this paper is to show how stability of a hybrid system can be reduced to a specialization of the well established stability theory of differential inclusions. A number of examples illustrate the concepts introduced in the paper.

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29

Stanciulescu, Florin. "STABILITY OF HYBRID CONTROL SYSTEMS: CRITERIA OF STABILITY AND RISK ANALYSIS." IFAC Proceedings Volumes 35, no. 1 (2002): 163–68. http://dx.doi.org/10.3182/20020721-6-es-1901.00515.

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30

Li, Liangliang, and Wenlin Jiang. "On Stability for State Constrained Hybrid Systems via Barrier Lyapunov Functions." Journal of Mathematics 2022 (April 30, 2022): 1–11. http://dx.doi.org/10.1155/2022/7701490.

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In this paper, the stability of familiar state constrained hybrid systems is considered. In the first, we prove the invariant set stability for the state constrained impulsive hybrid systems. Specifically, a robust control feedback method is applied for state constrained uncertain impulsive hybrid systems. With the auxiliary matrix assistance, some convergence criteria are derived to guarantee robust stability for state constrained uncertain hybrid systems with output disturbance by constructing the symmetric and asymmetric barrier Lyapunov functions (BLF), respectively. Finally, two comparative examples with simulations show that the proposed results are effective and superior.

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31

Yuan, Chenggui, and Xuerong Mao. "Stability of Stochastic Delay Hybrid Systems with Jumps." European Journal of Control 16, no. 6 (January 2010): 595–608. http://dx.doi.org/10.3166/ejc.16.595-608.

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32

He, Yan, Xi-Ming Sun, Jun Liu, and Yuhu Wu. "Stability Analysis for Homogeneous Hybrid Systems With Delays." IEEE Transactions on Systems, Man, and Cybernetics: Systems 50, no. 10 (October 2020): 3554–61. http://dx.doi.org/10.1109/tsmc.2018.2872045.

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33

Marchenko, V. M. "Hybrid discrete-continuous systems: I. stability and stabilizability." Differential Equations 48, no. 12 (December 2012): 1623–38. http://dx.doi.org/10.1134/s0012266112120087.

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34

Fiacchini, Mirko, Sophie Tarbouriech, and Christophe Prieur. "Quadratic Stability for Hybrid Systems With Nested Saturations." IEEE Transactions on Automatic Control 57, no. 7 (July 2012): 1832–38. http://dx.doi.org/10.1109/tac.2011.2178651.

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35

Yuan, Chenggui, John Lygeros, William Glover, and Jan Maciejowski. "MOMENT ASYMPTOTIC STABILITY OF STOCHASTIC HYBRID DELAY SYSTEMS." IFAC Proceedings Volumes 38, no. 1 (2005): 182–87. http://dx.doi.org/10.3182/20050703-6-cz-1902.00383.

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36

Socha, Lesław. "Stability of singularly perturbed nonlinear stochastic hybrid systems." Stochastic Analysis and Applications 34, no. 3 (April 18, 2016): 365–88. http://dx.doi.org/10.1080/07362994.2015.1135750.

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37

Li, Z. G., Y. C. Soh, and C. Y. Wen. "Stability of uncertain quasi-periodic hybrid dynamic systems." International Journal of Control 73, no. 1 (January 2000): 63–73. http://dx.doi.org/10.1080/002071700219948.

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38

Prabhakar, Pavithra, Geir Dullerud, and Mahesh Viswanathan. "Stability Preserving Simulations and Bisimulations for Hybrid Systems." IEEE Transactions on Automatic Control 60, no. 12 (December 2015): 3210–25. http://dx.doi.org/10.1109/tac.2015.2422431.

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39

Marchenko, V. M., and J. J. Loiseau. "On the stability of hybrid difference-differential systems." Differential Equations 45, no. 5 (May 2009): 743–56. http://dx.doi.org/10.1134/s0012266109050139.

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40

Dashkovskiy, Sergey, and Michael Kosmykov. "Input-to-state stability of interconnected hybrid systems." Automatica 49, no. 4 (April 2013): 1068–74. http://dx.doi.org/10.1016/j.automatica.2013.01.045.

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41

Teel, Andrew R., Anantharaman Subbaraman, and Antonino Sferlazza. "Stability analysis for stochastic hybrid systems: A survey." Automatica 50, no. 10 (October 2014): 2435–56. http://dx.doi.org/10.1016/j.automatica.2014.08.006.

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42

Cai, Chaohong, and Andrew R. Teel. "Robust Input-to-State Stability for Hybrid Systems." SIAM Journal on Control and Optimization 51, no. 2 (January 2013): 1651–78. http://dx.doi.org/10.1137/110824747.

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43

Neŝić, Dragan, Andrew R. Teel, Giorgio Valmorbida, and Luca Zaccarian. "On Finite Gain Lp Stability for Hybrid Systems*." IFAC Proceedings Volumes 45, no. 9 (2012): 418–23. http://dx.doi.org/10.3182/20120606-3-nl-3011.00066.

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44

HOSHI, Yoshikatsu, and Mitsuji SAMPEI. "128 Stability of Hybrid Control for Nonholonomic Systems." Proceedings of the Symposium on the Motion and Vibration Control 2001.7 (2001): 107–10. http://dx.doi.org/10.1299/jsmemovic.2001.7.107.

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45

Iqbal, N., J. Buisson, and Y. Quenec'hdu. "Stability of Dynamic Hybrid Systems With Descriptor Systems as Dynamic Model." IFAC Proceedings Volumes 30, no. 6 (May 1997): 361–67. http://dx.doi.org/10.1016/s1474-6670(17)43391-x.

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46

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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47

Liu, Bin, Hai Huyen Heidi Dam, Kok Lay Teo, and David John Hill. "$\mathcal{KL}_*$ -stability for a class of hybrid dynamical systems." IMA Journal of Applied Mathematics 82, no. 5 (July 29, 2017): 1043–60. http://dx.doi.org/10.1093/imamat/hxx023.

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Abstract This article studies $\mathcal{KL}_*$-stability (the stability expressed by $\mathcal{KL}_*$-class function) for a class of hybrid dynamical systems (HDS). The notions of $\mathcal{KL}_{*}\mathcal{K}_{*}$-property and $\mathcal{KL}_{*}$-stability are proposed for HDS with respect to the hybrid-event-time. The $\mathcal{KL}_{*}$-stability, which is based on $\mathcal{K}$ or $\mathcal{L}$ property of the continuous flow, the discrete jump, and the event in an HDS, extends the $\mathcal{KLL}$-stability and the event-stability reported in the literature for HDS. The relationships between $\mathcal{KL}_{*}\mathcal{K}_{*}$-property and $\mathcal{KL}_{*}$-stability are established via introducing the hybrid dwell-time condition (HDT). The HDT generalizes the average dwell-time condition in the literature. For an HDS with $\mathcal{KL}_{*}\mathcal{K}_{*}$-property consisting of stabilizing $\mathcal{L}$-property and destabilizing $\mathcal{K}$-property, it is shown that there exists a common HDT under which the HDS will achieve $\mathcal{KL}_{*}$-stability. Thus HDT may help to derive some easily tested conditions for HDS to achieve uniform asymptotic stability. Moreover, a criterion of $\mathcal{KL}_{*}$-stability is derived by using the multiple Lyapunov-like functions. Examples are given to illustrate the obtained theoretical results.

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48

Saadia, N., Y. Amirat, J. Pontnau, and N. K. M'Sirdi. "Neural hybrid control of manipulators, stability analysis." Robotica 19, no. 1 (January 2001): 41–51. http://dx.doi.org/10.1017/s0263574700002885.

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The design and implementation of adaptive control for nonlinear unknown systems is extremely difficult. The nonlinear adaptive control for assembly robots performing a peg-in-hole insertion is one such an example. The recently intensively studied neural networks brings a new stage in the development of adaptive control, particularly for unknown nonlinear systems. The aim of this paper is to propose a new approach of hybrid force position control of an assembly robot based on artificial neural networks systems. An appropriate neural network is used to model the plant and is updated online. An artificial neural network controller is then directly evaluated using the updated neuro model. Two control structures are proposed and the stability analysis of the closed-loop system is investigated using the Lyapunov method. Experimental results demonstrate that the identification and control schemes suggested in this paper are efficient in practice.

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49

Klamka, J., A. Czornik, and M. Niezabitowski. "Stability and controllability of switched systems." Bulletin of the Polish Academy of Sciences: Technical Sciences 61, no. 3 (September 1, 2013): 547–55. http://dx.doi.org/10.2478/bpasts-2013-0055.

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Abstract The study of properties of switched and hybrid systems gives rise to a number of interesting and challenging mathematical problems. This paper aims to briefly survey recent results on stability and controllability of switched linear systems. First, the stability analysis for switched systems is reviewed. We focus on the stability analysis for switched linear systems under arbitrary switching, and we highlight necessary and sufficient conditions for asymptotic stability. After that, we review the controllability results.

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50

Ji, Xiu Huan. "Hybrid Synchronization of Three Identical Coupled Chaotic Systems Using the Direct Design Method." Advanced Materials Research 912-914 (April 2014): 695–99. http://dx.doi.org/10.4028/www.scientific.net/amr.912-914.695.

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This paper investigates the hybrid synchronization behavior (coexistence of anti-synchronization and complete synchronization) in three coupled chaotic systems with ring connections. We employ the direct design method to design the hybird synchronization controllers, which transform the error system into a nonlinear system with a special antisymmetric structure. A simple stability criterion is then derived for reaching hybrid synchronization. Finally, numerical example is provided to demonstrate the effectiveness of the theoretical analysis.

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