Finite-time Stochastic Stability and Stabilization for Uncertain Discrete-time Stochastic Systems with Time-varying Delay | Zendy

Xinyue Tang | Zendy; Yali Dong | Zendy; Meng Liu | Zendy

Open Access

Finite-time Stochastic Stability and Stabilization for Uncertain Discrete-time Stochastic Systems with Time-varying Delay

Author(s) -

Xinyue Tang,

Yali Dong,

Meng Liu

Publication year - 2021

Publication title -

wseas transactions on circuits and systems

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.

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