Open AccessFinite-time Stochastic Stability and Stabilization for Uncertain Discrete-time Stochastic Systems with Time-varying Delay
Author(s) -
Xiaozhi Tang,
Yali Dong,
Meng Li
Publication year - 2021
Publication title -
wseas transactions on circuits and systems/wseas transactions on circuits
Language(s) - English
Resource type - Journals
eISSN - 2224-266X
pISSN - 1109-2734
DOI - 10.37394/23201.2021.20.27
Subject(s) - discrete time and continuous time , parametric statistics , control theory (sociology) , stability (learning theory) , mathematics , controller (irrigation) , term (time) , computer science , mathematical optimization , control (management) , statistics , artificial intelligence , machine learning , agronomy , biology , physics , quantum mechanics
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.