Stability Analysis of Discrete-Time Switched Linear Time-Varying Systems Based on Function-Dependent LMIs

IEEE Access

Ying Yang¹  Guopei Chen¹ 

[1] School of Mathematics and Big Data, Huizhou University, Huizhou, China;

关键词: Uniformly asymptotic stability;    discrete-time systems;    switched systems;    linear time-varying systems;    function-dependent linear matrix inequalities;    average dwell time;   

DOI  :  10.1109/ACCESS.2020.2968636

来源: DOAJ

【 摘 要 】

This paper considers the problem of uniformly asymptotic stability (UAS) for discrete-time switched linear time-varying (DSLTV) systems. Starting with discrete-time linear time-varying (DLTV) systems, some stability conditions are given by using function-dependent linear matrix inequalities (LMIs). Comparing with the existing results, the conditions obtained allow the norm and rate of variation of system matrix are unbounded. Furthermore, the obtained results are extended to study the UAS of DSLTV systems, the stability condition is given by combining the methods of function-dependent LMIs with average dwell time. Finally, some further discussions about the relaxation of conditions obtained are also proposed. Three numerical examples are given to illustrate the theoretical results.

【 授权许可】

Unknown