Chaos Control and Hybrid Projective Synchronization of a Novel Chaotic System
Author(s) -
Tao Wang,
Kejun Wang,
Nuo Jia
Publication year - 2011
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 - 10.1155/2011/452671
Subject(s) - control theory (sociology) , synchronization of chaos , synchronization (alternating current) , chaotic , chaos (operating system) , scalar (mathematics) , chaotic systems , controller (irrigation) , computer science , control of chaos , adaptive control , control (management) , mathematics , topology (electrical circuits) , artificial intelligence , geometry , computer security , combinatorics , agronomy , biology
Adaptive feedback controllers based on Lyapunov's direct method for chaos controland hybrid projective synchronization (HPS) of a novel 3D chaotic system are proposed.Especially, the controller can be simplified ulteriorly into a single scalarone to achieve complete synchronization. The HPS between two nearly identicalchaotic systems with unknown parameters is also studied, and adaptive parameterupdate laws are developed. Numerical simulations are demonstrated to verify theeffectiveness of the control strategies
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