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Adaptive function Q‐S synchronization of chaotic systems with unknown parameters
Author(s) -
Zhao Jiakun,
Zhang Kecun
Publication year - 2010
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.1159
Subject(s) - synchronization (alternating current) , synchronization of chaos , control theory (sociology) , chaotic , lyapunov stability , chaotic systems , adaptive control , lyapunov function , function (biology) , computer science , scaling , stability (learning theory) , scheme (mathematics) , chaos (operating system) , mathematics , control (management) , topology (electrical circuits) , nonlinear system , physics , mathematical analysis , artificial intelligence , geometry , combinatorics , quantum mechanics , evolutionary biology , machine learning , biology , computer security
This work investigates the adaptive function Q‐S synchronization of non‐identical chaotic systems with unknown parameters. The sufficient conditions for achieving Q‐S synchronization with a desired scaling function of two different chaotic systems (including different dimensional systems) are derived based on the Lyapunov stability theory. By the adaptive control technique, the control laws and the corresponding parameter update laws are proposed such that the Q‐S synchronization of non‐identical chaotic systems is to be achieved. Finally, four illustrative numerical simulations are also given to demonstrate the effectiveness of the proposed scheme. Copyright © 2009 John Wiley & Sons, Ltd.