Affiliation:
1. School of Mathematical Sciences Tiangong University Tianjin 300387, CHINA
Abstract
This paper deals with the problems of finite-time stochastic stability and stabilization for discrete-time stochastic systems with parametric uncertainties and time-varying delay. Using the Lyapunov-Krasovskii functional method, some sufficient conditions of finite-time stochastic stability for a class of discrete-time stochastic uncertain systems are established in term of matrix inequalities. Then, a new criterion is proposed to ensure the closed-loop system is finite-time stochastically stable. The controller gain is designed. Finally, two numerical examples are given to illustrate the effectiveness of the proposed results.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)
Subject
Electrical and Electronic Engineering