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Robust Controller Design for Modified Projective Synchronization of Chen-Lee Chaotic Systems with Nonlinear Inputs
Author(s) -
JuiSheng Lin,
NengSheng Pai,
HerTerng Yau
Publication year - 2009
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2009/649401
Subject(s) - control theory (sociology) , synchronization (alternating current) , controller (irrigation) , chen , nonlinear system , lyapunov stability , synchronization of chaos , chaotic , mathematics , computer science , topology (electrical circuits) , control (management) , artificial intelligence , physics , paleontology , combinatorics , quantum mechanics , agronomy , biology
This study demonstrates the modified projective synchronization in Chen-Lee chaotic system. The variable structure control technology is used to design the synchronization controller with input nonlinearity. Based on Lyapunov stability theory, a nonlinear controller and some generic sufficient conditions can be obtained to guarantee the modified projective synchronization, including synchronization, antisynchronization, and projective synchronization in spite of the input nonlinearity. The numerical simulation results show that the synchronization and antisynchronization can coexist in Chen-Lee chaotic systems. It demonstrates the validity and feasibility of the proposed controller

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