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

  • Nannan MaEmail author
  • Zhibin Liu
  • Lin Chen
Article
  • 52 Downloads

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.

Keywords

Synchronization Complex dynamical networks Delay subinterval decomposition Linear matrix inequality 

Notes

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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Copyright information

© Brazilian Society for Automatics--SBA 2018

Authors and Affiliations

  1. 1.School of ScienceSouthwest Petroleum UniversityChengduChina

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