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Finite-Time \({H_\infty }\) Synchronization for Complex Dynamical Networks with Markovian Jump Parameter

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Abstract

In this paper, the problem of finite-time \({H_\infty }\) synchronization for complex dynamical networks with Markovian jump parameter is investigated. This purpose is concentrated on designing controller such that the obtain synchronization error system is finite-time \({H_\infty }\) synchronization. Based on the delay subinterval decomposition approach and linear matrix inequality approach, a new Lyapunov–Krasovskii functional is proposed to acquire the sufficient condition. Finally, numerical simulations are exploited to demonstrate our theoretical results.

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Acknowledgements

This paper is supported by applied fundamental research (Major frontier projects) of Sichuan Province (16JC0314). The authors would like to thank the editor and anonymous reviewers for their many helpful comments and suggestions to improve the quality of this paper.

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Authors and Affiliations

  1. School of Science, Southwest Petroleum University, Chengdu, 610500, Sichuan, China

    Nannan Ma, Zhibin Liu & Lin Chen

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  1. Nannan Ma
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  2. Zhibin Liu
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  3. Lin Chen
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Correspondence to Nannan Ma.

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Ma, N., Liu, Z. & Chen, L. Finite-Time \({H_\infty }\) Synchronization for Complex Dynamical Networks with Markovian Jump Parameter. J Control Autom Electr Syst 30, 75–84 (2019). https://doi.org/10.1007/s40313-018-00428-9

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  • DOI: https://doi.org/10.1007/s40313-018-00428-9

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