Finite-Time Annular Domain Stability and Stabilization of Discrete-Time Stochastic Systems

2020 ◽  
Author(s):  
Zhiguo Yan ◽  
Qingfeng lv ◽  
Guolin Hu ◽  
Mingjun Du
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Stochastic Systems ◽  
Annular Domain ◽  
Stability And Stabilization ◽  
Domain Stability

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

2021 ◽  
Vol 20 ◽  
pp. 244-251
Author(s):  
Xinyue Tang ◽  
Yali Dong ◽  
Meng Liu
Keyword(s):  
Discrete Time ◽  
Stochastic Stability ◽  
Finite Time ◽  
Stochastic Systems ◽  
Sufficient Conditions ◽  
Functional Method ◽  
Time Varying ◽  
Time Varying Delay ◽  
Stability And Stabilization ◽  
Varying Delay

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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