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Finite-time H Control of Stochastic Singular Systems with Partly Known Transition Rates via an Optimization Algorithm

  • Zhengtian WuEmail author
  • Lijian Yang
  • Baoping Jiang
  • Yonggui Kao
Article
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Abstract

This paper is concerned with the problem of finite-time H control for stochastic singular systems with partly known transition rates (TRs). The transition of system parameters follows a finite-state Markov process. Firstly, based on stochastic functional method and linear matrix inequalities (LMIs) technique, sufficient conditions are proposed to ensure finite-time stochastic boundedness (FTSB) and finite-time H stochastic boundedness (FTHSB) of considered stochastic singular system. Secondly, by designing a state feedback controller, strict LMI conditions are obtained to guarantee the closed-loop system with partly known TRs to be FTSB and FTHSB. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed methods.

Keywords

Finite-time stochastic stability H control singular systems stochastic systems. 

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Copyright information

© ICROS, KIEE and Springer 2019

Authors and Affiliations

  • Zhengtian Wu
    • 1
    • 2
    Email author
  • Lijian Yang
    • 1
    • 2
  • Baoping Jiang
    • 1
    • 2
  • Yonggui Kao
    • 3
  1. 1.School of Electronic and Information EngineeringSuzhou University of Science and TechnologySuzhouChina
  2. 2.Suzhou Key Laboratory for Big Data and Information ServiceSuzhouChina
  3. 3.Department of MathematicsHarbin Institute of Technology (Weihai)WeihaiP. R. China

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