Delay dependent stability analysis of interval time-delay systems
作者： Wenjuan Jiang , Alexandre Kruszewski , Emilia Fridman , Jean-Pierre Richard
DOI: 10.3182/20100607-3-CZ-4010.00056
关键词: Delay dependent 、 Interval (mathematics) 、 Dwell time 、 Control theory 、 Exponential stability 、 Value (computer science) 、 Functional methods 、 Mathematics 、 Stability (probability) 、 Linear matrix inequality
摘要: We consider interval time-varying delay systems. The time-delay is divided into several zones and the systems switch among different zones. Based on Lyapunov-Krasovskii functional methods linear matrix inequality (LMI) techniques, exponential stability exploited for every zone. global of switched system guaranteed if some minimum average dwell time conditions are satisfied. Numerical examples comparisons with other works show that enlarge value maximum upper-bound allowable time-delays.
archives-ouvertes.fr
sci-hub.se 参考文章(22)
John Nelson Chiasson, Jean Jacques Loiseau, Applications of Time Delay Systems ,(2008)
Jie Chen, Vladimir Kharitonov, Kequin Gu, Stability of Time-Delay Systems ,(2003)
Silviu-Iulian Niculescu, Delay Effects on Stability: A Robust Control Approach ,(2001)
Daniel Liberzon, Switching in Systems and Control ,(2003)
Xiefu Jiang, Qing-Long Han, On H∞ control for linear systems with interval time-varying delay Automatica. ,vol. 41, pp. 2099- 2106 ,(2005) , 10.1016/J.AUTOMATICA.2005.06.012
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
Yong He, Qing-Guo Wang, Chong Lin, Min Wu, Technical communique: Delay-range-dependent stability for systems with time-varying delay Automatica. ,vol. 43, pp. 371- 376 ,(2007) , 10.1016/J.AUTOMATICA.2006.08.015
Jean-Pierre Richard, Time-delay systems: an overview of some recent advances and open problems Automatica. ,vol. 39, pp. 1667- 1694 ,(2003) , 10.1016/S0005-1098(03)00167-5
Guangming Xie, Long Wang, Stabilization of switched linear systems with time-delay in detection of switching signal Journal of Mathematical Analysis and Applications. ,vol. 305, pp. 277- 290 ,(2005) , 10.1016/J.JMAA.2004.11.043
Guisheng Zhai, Bo Hu, Kazunori Yasuda, Anthony N. Michel, Stability analysis of switched systems with stable and unstable subsystems: An average dwell time approach International Journal of Systems Science. ,vol. 32, pp. 1055- 1061 ,(2001) , 10.1080/00207720116692