A novel mixed-synchronization phenomenon in coupled Chua's circuits via non-fragile linear control

doi:10.1088/1674-1056/20/8/080506

Abstract Dynamical variables of coupled nonlinear oscillators can exhibit different synchronization patterns depending on the designed coupling scheme. In this paper, a non-fragile linear feedback control strategy with multiplicative controller gain uncertainties is proposed for realizing the mixed-synchronization of Chua's circuits connected in a drive-response configuration. In particular, in the mixed-synchronization regime, different state variables of the response system can evolve into complete synchronization, anti-synchronization and even amplitude death simultaneously with the drive variables for an appropriate choice of scaling matrix. Using Lyapunov stability theory, we derive some sufficient criteria for achieving global mixed-synchronization. It is shown that the desired non-fragile state feedback controller can be constructed by solving a set of linear matrix inequalities (LMIs). Numerical simulations are also provided to demonstrate the effectiveness of the proposed control approach.

Keywords: mix-synchronization Chua's circuit non-fragile control Lyapunov stability linear matrix inequality

Received: 08 February 2011
Revised: 23 April 2011
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.-a	(Nonlinear dynamics and chaos)

Fund: Project supported by the Foundation for Distinguished Young Talents in Higher Education of Guangdong Province of China (Grant No. LYM10074) and the Natural Science Foundation of Guangdong Province, China (Grant No. 9451042001004076).

Cite this article:

Wang Jun-Wei(王军威), Ma Qing-Hua(马庆华), and Zeng Li(曾丽) A novel mixed-synchronization phenomenon in coupled Chua's circuits via non-fragile linear control 2011 Chin. Phys. B 20 080506

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A novel mixed-synchronization phenomenon in coupled Chua's circuits via non-fragile linear control

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