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Non-fragile delay feedback control for neutral stochastic Markovian jump systems with time-varying delays

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  • Zhuang, Guangming
  • Xu, Shengyuan
  • Xia, Jianwei
  • Ma, Qian
  • Zhang, Zhengqiang

Abstract

This paper is concerned with the problem of non-fragile delay feedback control for neutral stochastic Markovian jump systems (NSMJSs) with time-varying delays. The main aim is to design non-fragile and mode-dependent delay feedback controller (DFC) both in the drift part and in the diffusion part to realize closed-loop NSMJS is stochastically stable. By constructing mode-dependent and delay-dependent comprehensive Lyapunov-Krasovskii functional, the stabilization conditions are provided in terms of linear matrix inequalities (LMIs). Simulation examples including a lossless transmission line model (LTLM) are utilized to verify the validity and usefulness of the proposed method.

Suggested Citation

  • Zhuang, Guangming & Xu, Shengyuan & Xia, Jianwei & Ma, Qian & Zhang, Zhengqiang, 2019. "Non-fragile delay feedback control for neutral stochastic Markovian jump systems with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 21-32.
    • Handle: RePEc:eee:apmaco:v:355:y:2019:i:c:p:21-32
    DOI: 10.1016/j.amc.2019.02.057
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    References listed on IDEAS

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    5. Guangming Zhuang & Jianwei Xia & Weihai Zhang & Wei Sun & Qun Sun, 2018. "Normalisation design for delayed singular Markovian jump systems based on system transformation technique," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(8), pages 1603-1614, June.
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    Cited by:

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    4. Divya, H. & Sakthivel, R. & Karthick, S.A. & Aouiti, C., 2022. "Non-fragile control design for stochastic Markov jump system with multiple delays and cyber attacks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 291-302.
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