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

• DOI: 10.1007/s12555-017-0020-7
• Publication Date: 2018-01-30T05:06:14Z
• Authors: Lihua Zhang; Wenhai Qi; Yonggui Kao; Xianwen Gao; Longjiang Zhao
• Keywords: 0202 electrical engineering, electronic engineering, information engineering; 02 engineering and technology

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.