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\({H_\infty }\)/passive synchronization for complex dynamical networks with semi-Markovian jump and coupling time-varying delays based on sampled-data control

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Abstract

This paper investigates \({H_\infty }\)/passive synchronization for a class of complex dynamical networks with semi-Markovian jump and coupling time-varying delays based on sampled-data control. The main purpose is to design a sampled-data controller, using discrete controller approach, to ensure \({H_\infty }\)/passive synchronization of the closed-loop error system. By constructing a novel Lyapunov–Krasovskii functional, in which the characteristics of the sampled-data are fully considered, then combining some integral inequalities, free weighting matrices and convex combination method, we establish the \({H_\infty }\)/passive synchronization criterion for a class of complex dynamical networks with semi-Markovian jump. Moreover, the proposed synchronization criterion can be simplified into the form of linear matrix inequalities using Matlab toolbox. Finally, two numerical examples are given to verify the validity and practicability of the theoretical results.

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Authors and Affiliations

  1. School of Science, Yanshan University, Qinhuangdao, 066004, Hebei, People’s Republic of China

    Jia Li & Yuechao Ma

  2. School of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, Hebei, People’s Republic of China

    Yuechao Ma & Lei Fu

Authors
  1. Jia Li
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  2. Yuechao Ma
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  3. Lei Fu
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Correspondence to Yuechao Ma.

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Communicated by Luz de Teresa.

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This work is supported by National Natural Science Foundation of China (No. 61273004) and the Natural Science Foundation of Hebei province (No. F2018203099).

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Li, J., Ma, Y. & Fu, L. \({H_\infty }\)/passive synchronization for complex dynamical networks with semi-Markovian jump and coupling time-varying delays based on sampled-data control. Comp. Appl. Math. 39, 73 (2020). https://doi.org/10.1007/s40314-020-1087-y

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  • DOI: https://doi.org/10.1007/s40314-020-1087-y

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