Finite-time stabilization and boundedness of switched linear system under state-dependent switching

Journal of the Franklin Institute

Volumn 350, Issue 3, 2013, Pages 541-555

  Liu, Hao ^a   Shen, Yi ^a   Zhao, Xudong ^b  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b CHINA UNIVERSITY OF PETROLEUM   (China)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE TIME STABILIZATION; MULTIPLE LYAPUNOV-LIKE FUNCTIONS; STATE-DEPENDENT SWITCHING; SUFFICIENT CONDITIONS; SWITCHED LINEAR SYSTEM; SWITCHING INSTANTS; SWITCHING SIGNALS; SWITCHING STRATEGIES;

STABILIZATION; SWITCHING SYSTEMS;

SWITCHING;

EID: 84875268282     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2012.12.014     Document Type: Article

References (28)

1. H. Lin, and P.J. Antsaklis Stability and stabilizability of switched linear systems a survey of recent results IEEE Transactions on Automatic Control 54 2 2009 308 322
2. S. Engell, S. Kowalewski, C. Schulz, and O. Strusberg Continuous-discrete interactions in chemical processing plants Proceedings of IEEE 88 2000 1050 1068
3. D. Pepyne, and C. Cassandaras Optimal control of hybrid systems in manufacturing Proceedings of IEEE 88 2000 1108 1123
4. D. Liberzon, and A.S. Morse Basic problems in stability and design of switched systems IEEE Control Systems Magazine 19 5 1999 59 70
5. P.J. Antsaklis A brief introduction to the theory and applications of hybrid systems Proceedings of IEEE 88 7 2000 879 887
6. Z.D. Sun, and S.S. Ge Analysis and synthesis of switched linear control systems Automatica 41 2 2005 181 195
7. J.P. Hespanha, D. Liberzon, A.S. Morse, Stability of switched systems with average dwell time, in: Proceedings of 38th Conference on Decision and Control, Phoenix 1999, pp. 2655-2660.
8. E. SkaTdas, R.J. Evans, A.V. Savkin, and I.R. Petersen Stability results for switched controller systems Automatica 35 1999 553 564
9. A. Zappavigna, P. Colaneri, J.C. Geromel, R. Shorten, Dwell time analysis for continuous-time switched linear positive systems, in: Proceedings of 2010 American Control Conference, Baltimore, 2010, pp. 6256-6261.
10. S. Pettersson, B. Lennartson, Stabilization of hybrid systems using a min-projection strategy, in: Proceedings of the American Control Conference, Arlington, 2001, pp. 223-228.
11. Z. Sun Stabilizing switching design for switched linear systems a state-feedback path-wise switching approach Automatica 45 2009 1708 1714
12. X. Sun, J. Zhao, and D.J. Hill Stability and L2 gain analysis for switched delay systems a delay-dependent method Automatica 42 2006 1769 1774
13. H. Yang, V. Cocquempot, and B. Jiang On stabilization of switched nonlinear systems with unstable modes Systems & Control Letters 58 2009 703 708
14. M.S. Branicky Multiple Lyapunov functions and other analysis tools for switched and hybrid systems IEEE Transactions on Automatic Control 43 4 1998 475 482
15. D. Liberzon, and R. Tempo Common Lyapunov functions and gradient algorithms IEEE Transactions on Automatic Control 49 6 2004 990 994
16. J.P. Hespanha, H. Unbehauen (Eds.), Stabilization through hybrid control, in: Proceedings of Encyclopedia of Life Support Systems (EOLSS), Volume Control Systems, Robotics, and Automation, Oxford, UK, 2004.
17. H. Lin, G. Zhai, and P.J. Antsaklis Robust stability and disturbance attenuation analysis of a class of networked control systems Proceedings of the 42nd IEEE Conference on Decision Control 2003 1182 1187
18. G. Zhai, B. Hu, K. Yasuda, and A.N. Michel Disturbance attenuation properties of time-controlled switched systems Journal of the Franklin Institute 338 2001 765 779
19. 2 gain performance controller synthesis for discrete-time switched linear systems Proceedings of the 45th IEEE Conference on Decision Control 2006 2673 2678
20. S. Pettersson Synthesis of switched linear systems Proceedings of the 42nd IEEE Conference on Decision Control 2003 5283 5288
21. L. Weiss, and E.F. Infante Finite time stability under perturbing forces and on product spaces IEEE Transactions on Automatic Control 12 1 1967 54 59
22. S.H. Li, Z. Wang, and S.M. Fei Finite-time control of a bioreactor system using terminal sliding mode International Journal of Innovative Computing, Information and Control 5 10B 2009 3495 3504
23. S.P. He, and F. Liu Robust finite-time stabilization of uncertain fuzzy jump systems International Journal of Innovative Computing, Information and Control 6 9 2010 3853 3862
24. F. Amato, M. Ariola, P. Dorato, Finite-time control of linear systems subject to parametric uncertainties and disturbances, Automatica 37 (2001) 1459-1463.
25. F. Amato, M. Ariola, C. Cosentino, Finite-time stabilization via dynamic output feedback, Automatica 42 (2006) 337-342.
26. H. Liu, Y. Shen, and X.D. Zhao Delay-dependent observer-based H1 finite-time control for switched systems with time-varying delay Nonlinear Analysis Hybrid Systems 6 2012 885 898
27. H.B. Du, X.Z. Lin, and S.H. Li Finite-time boundedness and stabilization of switched linear systems Kybernetika 5 46 2010 870 889
28. L. Johan, YALMIP: a toolbox for modeling and optimization in MATLAB, in: 2004 IEEE International Symposium on Computer Aided Control Systems Design, Taiwan, 2004, pp. 284-289.