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Further Results on Quasi‐Synchronization of Delayed Chaotic Systems with Parameter Mismatches Via Intermittent Control
Author(s) -
Jiang Yan,
Zhai Junyong
Publication year - 2018
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.1738
Subject(s) - intermittent control , control theory (sociology) , synchronization (alternating current) , chaotic systems , piecewise , synchronization of chaos , chaotic , mathematics , lyapunov function , stability (learning theory) , computer science , control (management) , nonlinear system , topology (electrical circuits) , engineering , control engineering , physics , mathematical analysis , combinatorics , artificial intelligence , quantum mechanics , machine learning
This paper focuses on the problem of quasi‐synchronization of delayed chaotic systems with parameter mismatches via aperiodically intermittent control. First, the intermittently controlled systems are modeled as switched systems with two modes. Then, piecewise switching‐time‐dependent Lyapunov functional/function are introduced for stability analysis of the switched systems. As a result, two novel sufficient conditions for quasi‐synchronization are established under a small error bound. Based on the obtained quasi‐synchronization criteria, the existence of the aperiodically intermittent controllers is presented in the form of Linear Matrix Inequalities (LMIs). Finally, chaotic neural networks and Chua's circuit are provided to verify the validity of the proposed method.