Polynomial Stability of Switched Time-Varying Systems with Disturbances and Delays
The polynomial stability problem of nonlinear switched time-varying systems with disturbances and time-varying delays was studied.Based on a new method that does not involve the usual Lyapunov Krasovskii functional,this paper discusses a homogeneous continuous time nonlinear switching delay system of order 0＜q＜1 and provides sufficient conditions for all states of the system to converge exponentially under the designed logarithmic mean residence time switching.In addition,nonlinear switched time-varying systems are extended to the study of linear switched time-varying systems,and sufficient conditions for polynomial stability of linear time-varying systems under logarithmic mean residence time are given.Finally,two numerical examples were provided to verify the effectiveness of the obtained results.
switching time-varying systemspolynomial stabilitylogarithmic average resi-dence timetime-varying time delay
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