Generalized projective synchronization of chaotic systems via adaptive learning control

doi:10.1088/1674-1056/19/2/020505

Abstract 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.

Keywords: generalized projective synchronisation chaotic systems adaptive learning control Lyapunov--Krasovskii functional

Received: 30 April 2009
Revised: 08 July 2009
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Pq	(Numerical simulations of chaotic systems)
	05.45.Gg	(Control of chaos, applications of chaos)
	02.30.Yy	(Control theory)

Fund: Project supported by the National Natural Science Foundation of China (Grant No.~60374015).

Cite this article:

Sun Yun-Ping(孙云平), Li Jun-Min(李俊民), Wang Jiang-An(王江安), and Wang Hui-Lin(王辉林) Generalized projective synchronization of chaotic systems via adaptive learning control 2010 Chin. Phys. B 19 020505

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