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

  • Jia Li
  • Yuechao MaEmail author
  • Lei Fu


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.


\({H_\infty }\)/passive synchronization Complex dynamical networks Semi-Markovian jump Coupling time-varying delays Sampled-data 

Mathematics Subject Classification

93C42 93C73 



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Copyright information

© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2020

Authors and Affiliations

  1. 1.School of ScienceYanshan UniversityQinhuangdaoPeople’s Republic of China
  2. 2.School of Electrical EngineeringYanshan UniversityQinhuangdaoPeople’s Republic of China

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