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H∞ consensus for nonlinear stochastic multi-agent systems with time delay

Author

Listed:
  • Zhou, Jianping
  • Sang, Chengyan
  • Li, Xiao
  • Fang, Muyun
  • Wang, Zhen

Abstract

This paper is concerned with the problem of H∞ consensus for nonlinear stochastic multi-agent systems with time-delay. The objective is to design a dynamic output feedback protocol such that the multi-agent system reaches consensus in mean square and has a prescribed H∞ performance level. First, by transforming models, the H∞ consensus problem is converted to a standard H∞ control problem. Then, by using the Lyapunov–Krasovskii functional method and the generalized Itô’s formula, both delay-independent and delay-dependent stochastic bounded real lemmas are developed. Based on these, sufficient conditions on the existence of the desired dynamic output feedback protocol are presented in the form of linear matrix inequalities. Finally, two numerical examples are given to illustrate the effectiveness of the proposed results.

Suggested Citation

  • Zhou, Jianping & Sang, Chengyan & Li, Xiao & Fang, Muyun & Wang, Zhen, 2018. "H∞ consensus for nonlinear stochastic multi-agent systems with time delay," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 41-58.
    • Handle: RePEc:eee:apmaco:v:325:y:2018:i:c:p:41-58
    DOI: 10.1016/j.amc.2017.12.020
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    References listed on IDEAS

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    1. Zhou, Jianping & Park, Ju H. & Ma, Qian, 2016. "Non-fragile observer-based H∞ control for stochastic time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 69-83.
    2. Zhao, Huanyu & Park, Ju H. & Zhang, Yulin, 2014. "Couple-group consensus for second-order multi-agent systems with fixed and stochastic switching topologies," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 595-605.
    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.
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    12. Yu, Zhiyong & Jiang, Haijun & Mei, Xuehui & Hu, Cheng, 2018. "Guaranteed cost consensus for second-order multi-agent systems with heterogeneous inertias," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 739-757.
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    14. Yang, Te & Chen, Guoliang & Xia, Jianwei & Wang, Zhen & Sun, Qun, 2019. "Robust H∞ filtering for polytopic uncertain stochastic systems under quantized sampled outputs," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 688-701.
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