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

  • Lihua Zhang
  • Wenhai Qi
  • Yonggui Kao
  • Xianwen Gao
  • Longjiang Zhao
Regular Paper Control Theory and Applications
  • 33 Downloads

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.

Keywords

Finite-time stabilization linear matrix inequality stochastic systems time-varying delay 

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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Lihua Zhang
    • 1
  • Wenhai Qi
    • 1
  • Yonggui Kao
    • 2
  • Xianwen Gao
    • 3
  • Longjiang Zhao
    • 4
  1. 1.School of EngineeringQufu Normal UniversityRizhaoChina
  2. 2.College of ScienceHarbin Institute of TechnologyWeihaiChina
  3. 3.School of Information Science and EngineeringNortheastern UniversityShenyangChina
  4. 4.School of EngineeringQufu Normal UniversityRizhaoChina

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