Robust exponential stability of discrete time perturbed impulsive switched systems

Zidonghua Xuebao/Acta Automatica Sinica

Volumn 32, Issue 2, 2006, Pages 186-192

  Zong, Guang Deng ^a   Wu, Yu Qiang ^a  

^a QUFU NORMAL UNIVERSITY   (China)

Author keywords

Average dwell time; Robust exponential stability; Structure perturbations; Switched systems

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; LYAPUNOV METHODS; STABILITY; THEOREM PROVING;

ACTIVATION TIME; AVERAGE DWELL TIME; LYAPUNOV FUNCTION DESIGN METHOD; ROBUST EXPONENTIAL STABILITY; STABILITY DEGREE; STABLE SUBSYSTEMS; STATE TRAJECTORY; STRUCTURE PERTURBATIONS; SWITCHED SYSTEMS;

SWITCHING SYSTEMS;

EID: 33744761552     PISSN: 02544156     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. Branicky M S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Transactions on Automatic Control, 1998, 43(4): 475-482
2. Decarlo R, Branicky M S, Lennartson B. Perspective and results on the stability and stabilizability of hybrid systems. Proceedings of the IEEE, 2000, 88(7): 1069-1082
3. Liberzon D, Morse A S. Basic problems in stability and design of switched systems. IEEE Control Systems Magazine, 1999, 19(1): 59-70
4. Wicks M A, Peleties P, Decarlo R. Switched controller synthesis for the quadratic stabilization of a pair of unstable linear systems. European Journal of Control, 1998: 140-147
5. Hu B, Zhai G, Michael A N. Hybrid output feedback stabilization of two-dimensional linear control systems. In: Proceedings of the IEEE 2000 American Control Conference. Chicago, Illinois, USA: IEEE Press, 2000. 2184-2188
6. Narendra K S, Balakrishnan J. Adaptive control using multiple modes. IEEE Transactions on Automatic Control, 1997, 42(1): 171-188
7. Morse A S. Supervisory control of families of linear set-point controllers. Part 1: exact matching. IEEE Transactions on Automatic Control, 1996, 41(10): 1413-1431
8. Hespanha J P, Morse A S. Stability of switched systems with average dwell-time. In: Proceedings of the 38th IEEE Conference on Decision and Control. Phoenix, Arizona, USA: IEEE Press, 1999. 2655-2660
9. Zhai G, Hu B, Yasuda K, Michael A N. Stability analysis of switched systems with stable and unstable subsystems: an average dwell time approach. In: Proceedings of the IEEE 2000 American Control Conference. Chicago, Illinois, USA: IEEE Press, 2000. 200-204
10. Li Z G, Soh Y C, Wen C Y. Robust stability of perturbed switching systems by matrix measure. Systems and Control Letters, 2002, 45(1): 9-19
11. Zhai G, Hu B, Yasuda K, Michael A N. Qualitative analysis of discrete-time switched systems. In: Proceedings of the IEEE 2000 American Control Conference. Anchorage, AK, USA: IEEE Press, 2002. 1880-1885
12. Wu Y Q, Zong G D. Relay switching controller with finite time tracking for rigid robotic manipulators. Acta Automatica Sinica, 2005, 31(2): 412-418