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New Results on Finite-time Stabilization for Stochastic Systems with Time-varying Delay

Lihua Zhang, Wenhai Qi*, Yonggui Kao, Xianwen Gao, and Longjiang Zhao
International Journal of Control, Automation, and Systems, vol. 16, no. 2, pp.649-658, 2018

Abstract : "The paper deals with the problem of finite-time stabilization for stochastic systems with time-varying delay by defining a new criterion for finite-time stability. Firstly, by use of more appropriate Lyapunov-Krasovskii functional (LKF), the difficulties of finite-time stability confronted in system analysis and synthesis can be overcome. Then, a state feedback controller is constructed to guarantee the closed-loop system finite-time stable. New conditions for finite-time stability analysis as well as controller synthesis are established in terms of linear matrix inequality (LMI). Finally, two practical examples demonstrate the validity of the main results."

Keyword : Finite-time stabilization, linear matrix inequality, stochastic systems, time-varying delay.

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