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Sampled-data synchronization of semi-Markov jump complex dynamical networks subject to generalized dissipativity property

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  • Wang, Jing
  • Hu, Xiaohui
  • Wei, Yunliang
  • Wang, Zhen

Abstract

In the work, we address the problem of generalized dissipativity-based synchronization for complex dynamical networks subject to semi-Markov jump topology under the network environment, where the switching among different topologies is triggered by a semi-Markov process. The main idea is to determine a novel sampled-data controller such that the synchronization error system is stochastically stable. Via some available integral inequalities and stochastic analysis theory, some sufficient conditions for the solvability of the addressed problem are established. The serviceability of the presented design scheme is finally verified by a specific numerical example.

Suggested Citation

  • Wang, Jing & Hu, Xiaohui & Wei, Yunliang & Wang, Zhen, 2019. "Sampled-data synchronization of semi-Markov jump complex dynamical networks subject to generalized dissipativity property," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 853-864.
  • Handle: RePEc:eee:apmaco:v:346:y:2019:i:c:p:853-864
    DOI: 10.1016/j.amc.2018.10.088
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    14. Pan, Yingnan & Yang, Guang-Hong, 2019. "Event-based reduced-order fuzzy filtering for networked control systems with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 71-83.
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    20. Jiang, Ling & Cao, Jinde & Xiong, Lianglin, 2019. "Generalized multiobjective robustness and relations to set-valued optimization," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 599-608.
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