Complete (anti-)synchronization of chaotic systems with fully uncertain parameters by adaptive control

Xian-Feng Li; Andrew Chi-Sing Leung; Xiu-Ping Han; Xiao-Jun Liu; Yan-Dong Chu

doi:10.1007/s11071-010-9802-7

Author(s)

Xian-Feng Li
Andrew Chi-Sing Leung
Xiu-Ping Han
Xiao-Jun Liu
Yan-Dong Chu

Related Research Unit(s)

Department of Electrical Engineering

Detail(s)

Original language	English
Pages (from-to)	263-275
Journal / Publication	Nonlinear Dynamics
Volume	63
Issue number	1-2
Publication status	Published - Jan 2011

Link(s)

DOI	DOI https://doi.org/10.1007/s11071-010-9802-7 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-78650778640&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(351c0c41-cccf-49a2-ba12-b7752e9f6524).html

Abstract

This paper addresses a unified mathematical expression describing a class of chaotic systems, for which the problem of synchronization and anti-synchronization between different chaotic systems with fully uncertain parameters and different structure are studied. Based on the Lyapunov stability theory, a novel, simple, and systemic adaptive synchronization controller is designated, the analytic expression of the controller and the adaptive laws of parameters are developed. Moreover, the proposed scheme can be extended to anti-synchronize a class of chaotic systems. Two chaotic systems with different structure and fully uncertain parameters are employed as the examples to show the effectiveness of the proposed adaptive synchronization and anti-synchronization schemes. Additionally, the robustness and noise immunity of the adaptive synchronization scheme is investigated by measuring the mean squared error of the systems. © 2010 Springer Science+Business Media B.V.

Research Area(s)

(Anti-)synchronization, Adaptive control, Chaotic systems, Different structure, Fully uncertain parameters

Citation Format(s)

[ RIS ] [ BibTeX ]

Complete (anti-)synchronization of chaotic systems with fully uncertain parameters by adaptive control. / Li, Xian-Feng; Leung, Andrew Chi-Sing; Han, Xiu-Ping et al.
In: Nonlinear Dynamics, Vol. 63, No. 1-2, 01.2011, p. 263-275.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Li, X-F, Leung, AC-S, Han, X-P, Liu, X-J & Chu, Y-D 2011, 'Complete (anti-)synchronization of chaotic systems with fully uncertain parameters by adaptive control', Nonlinear Dynamics, vol. 63, no. 1-2, pp. 263-275. https://doi.org/10.1007/s11071-010-9802-7

Li, X-F., Leung, A. C-S., Han, X-P., Liu, X-J., & Chu, Y-D. (2011). Complete (anti-)synchronization of chaotic systems with fully uncertain parameters by adaptive control. Nonlinear Dynamics, 63(1-2), 263-275. https://doi.org/10.1007/s11071-010-9802-7

Li X-F, Leung AC-S, Han X-P, Liu X-J, Chu Y-D. Complete (anti-)synchronization of chaotic systems with fully uncertain parameters by adaptive control. Nonlinear Dynamics. 2011 Jan;63(1-2):263-275. doi: 10.1007/s11071-010-9802-7

Li, Xian-Feng ; Leung, Andrew Chi-Sing ; Han, Xiu-Ping et al. / Complete (anti-)synchronization of chaotic systems with fully uncertain parameters by adaptive control. In: Nonlinear Dynamics. 2011 ; Vol. 63, No. 1-2. pp. 263-275.