Generalized projective synchronization of chaotic systems via adaptive learning control

In this paper, a learning control approach is applied to the generalized projective synchronisation (GPS) of different chaotic systems with unknown periodically time-varying parameters. Using the Lyapunov--Krasovskii functional stability theory, a differential-difference mixed parametric learning la...

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Bibliographic Details
Published in:Chinese physics B 2010-02, Vol.19 (2), p.020505-020505
Main Authors: Yun-Ping, Sun, Jun-Min, Li, Jiang-An, Wang, Hui-Lin, Wang
Format: Article
Language:English
Subjects:
Adaptive control systems
Asymptotic properties
Chaos theory
Control systems
Global Positioning System
Law
Learning
Satellite navigation systems
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Summary:In this paper, a learning control approach is applied to the generalized projective synchronisation (GPS) of different chaotic systems with unknown periodically time-varying parameters. Using the Lyapunov--Krasovskii functional stability theory, a differential-difference mixed parametric learning law and an adaptive learning control law are constructed to make the states of two different chaotic systems asymptotically synchronised. The scheme is successfully applied to the generalized projective synchronisation between the Lorenz system and Chen system. Moreover, numerical simulations results are used to verify the effectiveness of the proposed scheme.
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/19/2/020505