Stability of a Class of Discrete-time Complex System
WANG Juan;HE Jun-jie;MU Xiao-wu;College of Mathematics and Information Science,Xinyang Normal University;College of Mathematics and Statistics,Zhengzhou University;
This paper is dedicated to the problem of L_2-gain and control synthesis for a class of uncertain switched systems in the discrete-time domain basing on switched Lyapunov function.Applying the Lyapunov function theory and LMI,the sufficient conditions of the asymptotic stability for a class of uncertain discrete-time switched nonlinear system under arbitrary switching laws are given,the feedback control law such that the systems satisfy the inner stability are also designed.
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