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

Autor: Longjiang Zhao, Wenhai Qi, Lihua Zhang, Yonggui Kao, Xianwen Gao
Rok vydání: 2018
Předmět:
Zdroj: International Journal of Control, Automation and Systems. 16:649-658
ISSN: 2005-4092
1598-6446
DOI: 10.1007/s12555-017-0020-7
Popis: 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.
Databáze: OpenAIRE