Robust synchronization of uncertain chaotic systems

doi:10.1088/1009-1963/15/3/010

Abstract

Abstract This paper investigates robust unified (lag, anticipated, and complete) synchronization of two coupled chaotic systems. By introducing the concepts of positive definite symmetrical matrix and Riccati inequality and the theory of robust stability, several criteria on robust synchronization are established. Extensive numerical simulations are also used to confirm the results.

Keywords: robust unified synchronization complete synchronization lag synchronization anticipated synchronization

Received: 30 June 2005
Revised: 16 December 2005
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Pq	(Numerical simulations of chaotic systems)
	02.10.Yn	(Matrix theory)
	02.30.Yy	(Control theory)

Fund: Project supported by the National Natural Science Foundation of China (Grant No 10372054).

Cite this article:

Li Fang (李芳), Hu Ai-Hua (胡爱花), Xu Zhen-Yuan (徐振源) Robust synchronization of uncertain chaotic systems 2006 Chinese Physics 15 507

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