Stabilizing Switching Signals for Switched Systems

被引:76
作者
Kundu, Atreyee [1 ]
Chatterjee, Debasish [1 ]
机构
[1] Indian Inst Technol, Syst & Control Engn Dept, Bombay 400076, Maharashtra, India
关键词
Asymptotic stability; multiple Lyapunov functions; switched systems; LINEAR-SYSTEMS; UNIFORM STABILITY;
D O I
10.1109/TAC.2014.2335291
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This article deals with stability of continuous-time switched systems under constrained switching. Given a family of systems, possibly containing unstable dynamics, we characterize a new class of switching signals under which the switched system generated by it and the family of systems is globally asymptotically stable. Our characterization of such stabilizing switching signals involves the asymptotic frequency of switching, the asymptotic fraction of activation of the constituent systems, and the asymptotic densities of admissible transitions among them. Our techniques employ multiple Lyapunov-like functions, and extend preceding results both in scope and applicability.
引用
收藏
页码:882 / 888
页数:7
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