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Exponential Synchronization of Dynamical Network with Distributed Delays Via Intermittent Control
Author(s) -
He Sulan,
Yi Guisheng,
Wu Zhaoyan
Publication year - 2019
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.1833
Subject(s) - synchronization (alternating current) , control theory (sociology) , lyapunov function , intermittent control , exponential function , synchronization networks , computer science , control (management) , mathematics , control engineering , topology (electrical circuits) , engineering , nonlinear system , physics , artificial intelligence , mathematical analysis , combinatorics , quantum mechanics
In this paper, the exponential synchronization of dynamical network with distributed time delays is investigated. The intermittent controllers are designed to achieve the exponential synchronization. Based on the Lyapunov function method and the mathematical analysis technique, some synchronization criteria with respect to the system parameters, control gain and control rate are presented. From the criteria, for any given dynamical network, the needed values of control gains and rate can be easily estimated. Finally, two numerical simulations are performed to verify the derived theoretical results.