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Finite-Time Control for Markov Jump Systems with Partly Known Transition Probabilities and Time-Varying Polytopic Uncertainties

  • Chen Zheng
  • Xiaozheng Fan
  • Manfeng Hu
  • Yongqing Yang
  • Yinghua Jin
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9377)

Abstract

In this paper, the finite-time control problem for Markov systems with partly known transition probabilities and polytopic uncertainties is investigated. The main result provided is a sufficient conditions for finite-time stabilization via state feedback controller, and a simpler case without controller is also considered, based on switched quadratic Lyapunov function approach. All conditions are shown in the form of LMIs. An illustrative example is presented to demonstrate the result.

Keywords

finite-time stabilization Markov systems polytopic uncertainties partly known transition probabilities linear matrix inequalities 

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© Springer International Publishing Switzerland 2015

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Authors and Affiliations

  • Chen Zheng
    • 1
  • Xiaozheng Fan
    • 1
  • Manfeng Hu
    • 1
    • 2
  • Yongqing Yang
    • 1
    • 2
  • Yinghua Jin
    • 1
    • 2
  1. 1.School of ScienceJiangnan UniversityWuxiChina
  2. 2.Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education)Jiangnan UniversityWuxiChina

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