Stability of feedback switched systems with state and switching delays

Proceedings of the American Control Conference

Volumn , Issue , 2009, Pages 1754-1759

  Vu, Linh ^a   Morgansen, Kristi A ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AVERAGE DWELL TIME; CLOSED LOOPS; FEEDBACK STATE; LOWER BOUNDS; MULTIPLE LYAPUNOV FUNCTION; STABILITY RESULTS; SWITCHED LINEAR SYSTEM; SWITCHED SYSTEM; SWITCHING DELAY; SWITCHING SIGNALS; SWITCHING TOPOLOGY; TIME-VARYING DELAY; UPPER BOUND;

ASYMPTOTIC STABILITY; CONTROL THEORY; DIFFERENTIAL EQUATIONS; FEEDBACK; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; MULTIVARIABLE CONTROL SYSTEMS; SWITCHING; SWITCHING CIRCUITS; SWITCHING FUNCTIONS; SWITCHING SYSTEMS; SYSTEM STABILITY; TIME VARYING NETWORKS;

STATE FEEDBACK;

EID: 70449646755     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2009.5160070     Document Type: Conference Paper

References (15)

1. D. Liberzon, Switching in Systems and Control. Boston: Birkhäuser, 2003.
2. J. P. Hespanha and A. S. Morse, "Stability of switched systems with average dwell-time," in Proc. 38th IEEE Conf. on Decision and Control, 1999, pp. 2655-2660.
3. D. Liberzon, J. P. Hespanha, and A. S. Morse, "Stability of switched systems: a Lie-algebraic condition," Systems and Control Lett., vol. 37, pp. 117-122, 1999.
4. 2-gain analysis for switched delay systems: A delay-dependent method," Automatica, vol. 42, pp. 1769-1774, 2006.
5. X. Sun, G. M. Dimirovski, J. Zhao, and W. Wang, "Exponential stability for switched delay systems based on average dwell time technique and Lyapunov function method," in Proc. of the 2006 American Control Conference, 2006.
6. Y. G. Sun, L. Wang, and G. Xie, "Stability of switched systems with time-varying delays: Delay-dependent common Lyapunov functional approach," in Proc. of the 2006 American Control Conference, 2006.
7. 2-gain of switched delay systems with stable and unstable subsystems," in Proc. of the 22nd IEEE International Sympo- sium on Intelligent Control, 2007.
8. G. Xie and L. Wang, "Stabilization of switched linear systems with time-delay in detection of switching signal," J. Math. Anal. Appl., vol. 305, pp. 277-290, 2005.
9. D. Liberzon, "Quantization, time delays, and nonlinear stabilization," IEEE Trans. Auto. Control, vol. 51, no. 7, pp. 1190-1195, 2006.
10. A. R. Teel, "Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem," IEEE Trans. Autom. Control, vol. 43, no. 7, pp. 960-964, 1998.
11. R. Diestel, Graph Theory, 3rd ed., ser. Graduate Texts in Mathematics. Springer-Verlag, 2005, vol. 173.
12. R. Olfati-Saber and R. M. Murray, "Consensus problems in networks of agents with switching topology and time-delays," IEEE Trans. Automat. Control, vol. 49, pp. 1520-1533, 2004.
13. J. P. Hespanha, "Uniform stability of switched linear systems: Extensions of LaSalle's invariance principle," IEEE Trans. Automat. Control, vol. 49, no. 4, pp. 470-482, 2004.
14. L. Vu and K. A. Morgansen, "Stability of feedback switched systems with state and switching delays," Preprint. http://vger.aa.washington. edu/̃linhvu/research/switched-feedback-delay.pdf.
15. G. Zhai, B. Hu, K. Yasuda, and A. N. Michel, "Stability analysis of switched systems with stable and unstable subsystems: an average dwell time approach," in Proc. of the American Control Conference, 2000, pp. 200-204.