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Synchronization of complex networks with Markovian switching coupling via aperiodically quantized intermittent pinning control
Author(s) -
Liu Xinxin,
Feng Jianwen,
Wang Jingyi,
Zhao Yi
Publication year - 2021
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2313
Subject(s) - synchronization (alternating current) , control theory (sociology) , complex network , coupling (piping) , markov process , linear matrix inequality , noise (video) , topology (electrical circuits) , computer science , control (management) , mathematics , engineering , mathematical optimization , mechanical engineering , statistics , combinatorics , artificial intelligence , world wide web , image (mathematics)
Abstract In this paper, we investigate the synchronization of complex networks with Markovian switching couplings. The complex network we deal with subjects to Markovian switching couplings, noise perturbations and internal and outer time‐varying delays, which is a more general model and has wide applications. The control scheme we employ is the aperiodically quantized intermittent pinning control. By using the Lyapunov‐Krasovskii functional, It ô 's formula and the linear matrix inequality (LMI), sufficient conditions for synchronization of complex networks with Markovian switching couplings are obtained. A numerical simulation is provided to demonstrate the validity of our theoretical results.