Robust chaos synchronization of noise-perturbed chaotic systems with multiple time-delays

Chun Kai Cheng; Hang Hong Kuo; Yi You Hou; Chi-Chuan Hwang; Teh-Lu Liao

doi:10.1016/j.physa.2008.02.010

Robust chaos synchronization of noise-perturbed chaotic systems with multiple time-delays

Chun Kai Cheng, Hang Hong Kuo, Yi You Hou, Chi-Chuan Hwang, Teh-Lu Liao

Department of Engineering Science

Research output: Contribution to journal › Article › peer-review

35 Citations (Scopus)

Abstract

The aim of this paper is to propose an output coupling and feedback scheme, which is not only to guarantee the asymptotic synchronization between the master and the slave chaotic systems with multiple time-delays but also to attenuate the effects of noise perturbation on the overall error system to a prescribed level in terms of the performance index H_∞-norm. The output coupling and feedback gain is derived on the basis of the Lyapunov theory and the linear matrix inequality (LMI) technique. Some numerical examples are given to demonstrate the effectiveness of the main results.

Original language	English
Pages (from-to)	3093-3102
Number of pages	10
Journal	Physica A: Statistical Mechanics and its Applications
Volume	387
Issue number	13
DOIs	https://doi.org/10.1016/j.physa.2008.02.010
Publication status	Published - 2008 May 15

All Science Journal Classification (ASJC) codes

Statistics and Probability
Condensed Matter Physics

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10.1016/j.physa.2008.02.010

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abstract = "The aim of this paper is to propose an output coupling and feedback scheme, which is not only to guarantee the asymptotic synchronization between the master and the slave chaotic systems with multiple time-delays but also to attenuate the effects of noise perturbation on the overall error system to a prescribed level in terms of the performance index H∞-norm. The output coupling and feedback gain is derived on the basis of the Lyapunov theory and the linear matrix inequality (LMI) technique. Some numerical examples are given to demonstrate the effectiveness of the main results.",

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AU - Cheng, Chun Kai

AU - Kuo, Hang Hong

AU - Hou, Yi You

AU - Hwang, Chi-Chuan

AU - Liao, Teh-Lu

PY - 2008/5/15

Y1 - 2008/5/15

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AB - The aim of this paper is to propose an output coupling and feedback scheme, which is not only to guarantee the asymptotic synchronization between the master and the slave chaotic systems with multiple time-delays but also to attenuate the effects of noise perturbation on the overall error system to a prescribed level in terms of the performance index H∞-norm. The output coupling and feedback gain is derived on the basis of the Lyapunov theory and the linear matrix inequality (LMI) technique. Some numerical examples are given to demonstrate the effectiveness of the main results.

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Robust chaos synchronization of noise-perturbed chaotic systems with multiple time-delays

Abstract

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