Finite-time Stability Analysis of Switched Nonlinear Systems with Finite-time Unstable Subsystems
Up to now,the precondition that each subsystem should be finite-time stable is potentially guaranteed in most existing results for the finite-time stability research of switched systems.If one subsystem of the switched systems is not finite-time stable,the previous results may not work.In this paper,based on Lyapunov-like functions,the finite-time stability problem of switched nonlinear systems with subsystems that are not finite-time stable is discussed.Sufficient conditions are given under which switched nonlinear systems with subsystems that are finite-time unstable are guaranteed to be still finite-time stable by virtue of common Lyapunov-like function and multiple Lyapunov-like functions respectively.The results also show the effect of switching signals and the total dwell time of finite-time unstable subsystems on finite-time stability of switched nonlinear systems.A numerical example is employed to verify the efficiency of the proposed method.
Switched Nonlinear Systems Finite-time Stability Lyapunov-like Function
Xiangze Lin Xueling Li Shihua Li Yun Zou
College of Engineering,Nanjing Agricultural University,Nanjing 210031,P.R.China;School of Automation School of Science,China Pharmaceutical University,Nanjing 211198,P.R.China School of Automation,Southeast University,Nanjing 210096,P.R.China School of Automation,Nanjing University of Science and Technology,Nanjing 210094,P.R.China
国际会议
The 33th Chinese Control Conference第33届中国控制会议
南京
英文
3875-3880
2014-07-28（万方平台首次上网日期，不代表论文的发表时间）