Abstract
The stability problem of switched delay systems with all subsystems unstable is investigated in this paper. A sufficient criterion is firstly proposed to guarantee asymptomatic stability of nonlinear switched delay systems with all subsystems unstable, where the stabilization property of switching behaviors is exploited to compensate the divergence of states. Then by constructing multiple discretized Lyapunov-Krasovskii functionals, stability criteria are developed for linear switched time-invariant and time-varying delay systems with all subsystems unstable. Finally, two examples are provided to illustrate the feasibility, superiority and application of the proposed approach.
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Recommended by Associate Editor Xiaojie Su under the direction of Editor PooGyeon Park. This work is supported in part by National Natural Science Foundation of China under Grants 61273123, 61273152, 61104136, 61403227, 61304059, in part by Program for New Century Excellent Talents in University NCET-13-0878, and in part by Program for Scientific Research Innovation Team in Colleges and Universities of Shandong Province.
Qingzhi Wang received her M.S. in Operational Research and Cybernetics from Qufu Normal University in 2014. Now she is pursuing a Doctor’s degree in Conrol Science and Engineering from Central South University, Changsha, China. Her current research interests include switched systems, robust control, intermittent control.
Haibin Sun received his Ph.D. degree in control theory and application of School of Automation at Southeast University in 2013. Since 2014, he has been with School of Engineering, Qufu Normal University. His research interests mainly lies in nonlinear control theory and its application to flight control.
Guangdeng Zong received his Ph.D. degree in control theory and application from Southeast University, Nanjing, China in 2005. His major research interests include network control, switched systems and robust control. He is currently a full professor in School of Engineering at Qufu Normal University.
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Wang, Q., Sun, H. & Zong, G. Stability analysis of switched delay systems with all subsystems unstable. Int. J. Control Autom. Syst. 14, 1262–1269 (2016). https://doi.org/10.1007/s12555-015-0052-9
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DOI: https://doi.org/10.1007/s12555-015-0052-9