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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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    3. Jianwei Xia & Changyin Sun & Xiang Teng & Hongbin Zhang, 2014. "Delay-segment-dependent robust stability for uncertain discrete stochastic Markovian jumping systems with interval time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(3), pages 271-282.
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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. Tai, Weipeng & Zuo, Dandan & Xuan, Zuxing & Zhou, Jianping & Wang, Zhen, 2021. "Non-fragile L2−L∞ filtering for a class of switched neural networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 629-645.
    5. Song, Gongfei & Zhang, Zimeng & Zhu, Yanan & Li, Tao, 2022. "Discrete-time control for highly nonlinear neutral stochastic delay systems," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    6. Huang, Xin & Liu, Yamin & Wang, Yang & Zhou, Jianping & Fang, Muyun & Wang, Zhen, 2020. "L2−L∞ consensus of stochastic delayed multi-agent systems with ADT switching interaction topologies," Applied Mathematics and Computation, Elsevier, vol. 368(C).
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    8. Lin, Yuqian & Zhuang, Guangming & Sun, Wei & Zhao, Junsheng & Chu, Yuming, 2021. "Resilient H∞ dynamic output feedback controller design for USJSs with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    9. Shi, Shang & Min, Huifang & Hu, Yinlong & Sun, Yonghui & Wang, Bing, 2020. "A novel hybrid scheme for fixed-time SOSM control of nonlinear uncertain systems subject to mismatched terms," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    10. 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.
    11. Dai, Mingcheng & Huang, Zhengguo & Xia, Jianwei & Meng, Bo & Wang, Jian & Shen, Hao, 2019. "Non-fragile extended dissipativity-based state feedback control for 2-D Markov jump delayed systems," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.

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