Improvement on generalised synchronisation of chaotic systems

doi:10.1088/1674-1056/19/3/030515

Abstract In this paper, the problem of generalised synchronisation of two different chaotic systems is investigated. Some less conservative conditions are derived using linear matrix inequality other than existing results. Furthermore, a simple adaptive control scheme is proposed to achieve the generalised synchronisation of chaotic systems. The proposed method is simple and easy to implement in practice and can be applied to secure communications. Numerical simulations are also given to demonstrate the effectiveness and feasibility of the theoretical analysis.

Keywords: chaotic systems generalised synchronisation secure communication

Received: 06 June 2009
Revised: 14 September 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)
	05.45.Vx	(Communication using chaos)
	84.40.Ua	(Telecommunications: signal transmission and processing; communication satellites)

Fund: Project supported by the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2007016).

Cite this article:

Zhu Hui-Bin(朱会宾),Qiu Fang(邱芳), and Cui Bao-Tong(崔宝同) Improvement on generalised synchronisation of chaotic systems 2010 Chin. Phys. B 19 030515

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