Finite-time Stochastic Stability and Stabilization for Uncertain Discrete-time Stochastic Systems with Time-varying Delay
2021 ◽
Vol 20
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pp. 244-251
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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.
2016 ◽
Vol 2016
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pp. 1-13
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2021 ◽
Vol 17
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pp. 146-155
2015 ◽
Vol 2015
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pp. 1-15
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2018 ◽
Vol 355
(12)
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pp. 5037-5057
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