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Robust H ∞ -Control for Uncertain Stochastic Systems with Impulsive Effects

Author

Listed:
  • Zhezhe Xin

    (The College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China)

  • Chunjie Xiao

    (The College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China)

  • Ting Hou

    (The College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China)

  • Xiao Shen

    (The College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266590, China)

Abstract

Robust stabilization and H ∞ controller design for uncertain systems with impulsive and stochastic effects have been deeply discussed. Some sufficient conditions for the considered system to be robustly stable are derived in terms of linear matrix inequalities (LMIs). In addition, an example with simulations is given to better demonstrate the usefulness of the proposed H ∞ controller design method.

Suggested Citation

  • Zhezhe Xin & Chunjie Xiao & Ting Hou & Xiao Shen, 2019. "Robust H ∞ -Control for Uncertain Stochastic Systems with Impulsive Effects," Mathematics, MDPI, vol. 7(12), pages 1-12, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:12:p:1169-:d:293497
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    References listed on IDEAS

    as
    1. Huidong Cheng & Fang Wang & Tongqian Zhang, 2012. "Multi-State Dependent Impulsive Control for Holling I Predator-Prey Model," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-21, June.
    2. Shaowei Zhou & Xiaoping Liu & Bing Chen & Hongxia Liu, 2018. "Stability Analysis for a Class of Discrete-Time Nonhomogeneous Markov Jump Systems with Multiplicative Noises," Complexity, Hindawi, vol. 2018, pages 1-9, February.
    3. Mao, Xuerong, 1999. "Stability of stochastic differential equations with Markovian switching," Stochastic Processes and their Applications, Elsevier, vol. 79(1), pages 45-67, January.
    4. Yu Zhang & Cheng Wang, 2015. "Robust stochastic stability of uncertain discrete-time impulsive Markovian jump delay systems with multiplicative noises," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(12), pages 2210-2220, September.
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