Global exponential synchronization between Lü system and Chen system with unknown parameters and channel time-delay

doi:10.1088/1674-1056/20/5/050511

Abstract This paper proposes a nonlinear feedback control method to realize global exponential synchronization with channel time-delay between the Lü system and Chen system, which are regarded as the drive system and the response system respectively. Some effective observers are produced to identify the unknown parameters of the Lü system. Based on the Lyapunov stability theory and linear matrix inequality technique, some sufficient conditions of global exponential synchronization of the two chaotic systems are derived. Simulation results show the effectiveness and feasibility of the proposed controller.

Keywords: global exponential synchronization unknown parameters channel time-delay Lyapunov stability theory

Received: 01 June 2010
Revised: 30 December 2010
Accepted manuscript online:

PACS:

05.45.Xt

(Synchronization; coupled oscillators)

Fund: Project supported by the Fundamental Research Funds for the Central Universities (Grant No. CDJZR10 17 00 02).

Cite this article:

Ma Tie-Dong (马铁东), Fu Jie (浮洁) Global exponential synchronization between Lü system and Chen system with unknown parameters and channel time-delay 2011 Chin. Phys. B 20 050511

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Global exponential synchronization between Lü system and Chen system with unknown parameters and channel time-delay

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