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

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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.

WSEAS Transactions on Circuits and Systems, ISSN / E-ISSN: 1109-2734 / 2224-266X, Volume 20, 2021, Art. #27

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Xinyue Tang, Yali Dong, Meng Liu, "Finite-time Stochastic Stability and Stabilization for Uncertain Discrete-time Stochastic Systems with Time-varying Delay," WSEAS Transactions on Circuits and Systems, vol. 20, pp. 244-251, 2021, DOI:10.37394/23201.2021.20.27
Xinyue Tang, Yali Dong, Meng Liu. Finite-time Stochastic Stability and Stabilization for Uncertain Discrete-time Stochastic Systems with Time-varying Delay. WSEAS Transactions on Circuits and Systems. 2021;20:244-251. 10.37394/23201.2021.20.27
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