Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems

2005 International Conference on Machine Learning and Cybernetics, ICMLC 2005

Volumn , Issue , 2005, Pages 917-922

  Wang, Chang Hong ^a   Zhang, L I Xian ^a   Gao, Hui Jun ^a   Wu, Li Gang ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Delay dependent stability; Linear switched systems; LMIs; Stabilization; Time varying delay

Indexed keywords

ALGORITHMS; CONTROL EQUIPMENT; DELAY CONTROL SYSTEMS; FEEDBACK CONTROL; MATRIX ALGEBRA; SYSTEM STABILITY; TIME VARYING SYSTEMS;

CONTINUOUS-TIME LINEAR SWITCHED SYSTEMS; DELAY-DEPENDENT STABILITY; LMIS;

LINEAR SYSTEMS;

EID: 28444491823     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (14)

1. D. Liberzon and A. Stephen Morse. "Basic problems in stability and design of switched systems", IEEE control systems magazine, Vol. 19, No. 5, pp. 59-70. 1999.
2. D. Mignone, G. Ferrari-Trecate, G., Morari, and M. Morari, "Stability and Stabilization of Piecewise Affine and Hybrid Systems: An LMI Approach," in Proc. Conference on Decision and Control, Vol. 1, pp. 504-509, 2000.
3. J. Daafouz, G. Millerioux, and C. Iung, "A poly-quadratic stability based approach for linear switched systems", International Journal of Control, Vol. 75, No. 16, pp. 1302-1310, 2002.
4. J. Daafouz, P. Riedinger, and C. lung, "stability analysis and control synthesis for switched systems: a switched Lyapunov function approach", IEEE Trans. Automatic. Control, Vol. 47, No. 11, pp. 1883-1887. 2002.
5. M. Johansson, and A, Rantzer, "Computation of Piecewise Quadratic Lyapunov Functions for Hybrid Systems," IEEE Trans. Automatic. Control, Vol. 43, No. 4, pp. 555-559, 1998.
6. M. Johansson and A. Rantzer, "Piecewise linear quadratic optimal control," IEEE Trans. Automatic Control, Vol. 45, No. 4, pp. 629-637, 2000.
7. M. S. Branicky, "Stability of hybrid systems: state of the art," in Proc. Conference on Decision and Control, Vol. l, pp. 120-12, 1997..
8. M. S. Branicky, "Multiple Lyapunov Functions and Other Analysis Tools for Switched and Hybrid Systems," IEEE Trans. Automatic. Control, Vol. 43, No. 4, pp. 475-482, 1998.
9. ∞ Control of Linear Time-Delay Systems'," IEEE Trans. Automatic. Control. Vol. 48, No. 3, pp.520-525, 2003.
10. ∞ Model Reduction for Discrete Time-Delay Systems: Delay Independent and Dependent Approaches," International Journal of Control. Vol. 77, No. 10, pp. 321-335, 2004.
11. E. Fridman, and U. Shaked, "An improved stabilization method for linear time-delay systems," IEEE Trans. Automatic. Control. Vol. 47, No. 11, pp. 1931-1937, 2002.
12. J. P. Richard, "Time-delay systems: an overview of some recent advances and open problems," Automatica, Vol. 39, No. 10, pp. 1667-1694, 2003.
13. Y. S. Moon, P. Park, W. H. Kwon, and Y. S. Lee, "Delay-dependent robust stabilization of uncertain state-delayed systems," International Journal of Control, Vol. 74, No. 14, pp. 1447-1455, 2001.
14. V. kulkarni, J. Myungsoo and J. Hespanha, "piecewise quadratic lyapunov functions for piecewise affine time-delay systems", in Proc. American control conference, Vol. 5, pp. 3885-3889, 6-7, 2004.