Stability and L 2-gain analysis for switched systems with interval time-varying delay
作者： Duyu Liu , Xingwen Liu , Gang Xiao
DOI: 10.1049/IET-CTA.2014.0889
关键词:
摘要: This study studies the problem of exponential stability and L 2-gain analysis a class switched systems with delay varying in an interval. By using newly constructed Lyapunov–Krasovskii functional average dwell-time scheme, delay-dependent sufficient conditions are obtained which expressed as linear matrix inequalities. These provide solution for finding switching signal under normal system guaranteed. Two illustrative examples given to demonstrate effectiveness proposed results.
sci-hub.se 参考文章(29)
E. Fridman, U. Shaked, A descriptor system approach to H/sub ∞/ control of linear time-delay systems IEEE Transactions on Automatic Control. ,vol. 47, pp. 253- 270 ,(2002) , 10.1109/9.983353
J.P. Hespanha, A.S. Morse, Stability of switched systems with average dwell-time conference on decision and control. ,vol. 3, pp. 2655- 2660 ,(1999) , 10.1109/CDC.1999.831330
Yanhui Tong, Lixian Zhang, Peng Shi, Changhong Wang, A common linear copositive Lyapunov function for switched positive linear systems with commutable subsystems International Journal of Systems Science. ,vol. 44, pp. 1994- 2003 ,(2013) , 10.1080/00207721.2012.683830
Daniel Liberzon, A Stephen Morse, Basic problems in stability and design of switched systems IEEE Control Systems Magazine. ,vol. 19, pp. 59- 70 ,(1999) , 10.1109/37.793443
Nguyen T Thanh, Vu N Phat, None, Decentralized stability for switched nonlinear large-scale systems with interval time-varying delays in interconnections Nonlinear Analysis: Hybrid Systems. ,vol. 11, pp. 22- 36 ,(2014) , 10.1016/J.NAHS.2013.04.002
Andrei A. Agrachev, Daniel Liberzon, Lie-Algebraic Stability Criteria for Switched Systems SIAM Journal on Control and Optimization. ,vol. 40, pp. 253- 269 ,(2001) , 10.1137/S0363012999365704
Paolo Mason, Ugo Boscain, Yacine Chitour, Common Polynomial Lyapunov Functions for Linear Switched Systems Siam Journal on Control and Optimization. ,vol. 45, pp. 226- 245 ,(2006) , 10.1137/040613147
Dan Zhang, Li Yu, Exponential stability analysis for neutral switched systems with interval time-varying mixed delays and nonlinear perturbations Nonlinear Analysis: Hybrid Systems. ,vol. 6, pp. 775- 786 ,(2012) , 10.1016/J.NAHS.2011.10.002
Shilong Liu, Zhengrong Xiang, Exponential L1 output tracking control for positive switched linear systems with time-varying delays Nonlinear Analysis: Hybrid Systems. ,vol. 11, pp. 118- 128 ,(2014) , 10.1016/J.NAHS.2013.07.002
Mei Xiang, Zhengrong Xiang, Stability, L1-gain and control synthesis for positive switched systems with time-varying delay Nonlinear Analysis: Hybrid Systems. ,vol. 9, pp. 9- 17 ,(2013) , 10.1016/J.NAHS.2013.01.001