Impulsive control for synchronization of nonlinear Rössler chaotic systems

Yang Li; Xiao Feng Liao; Chuan Dong Li; Guo Chen

doi:10.1088/1009-1963/15/12/021

Impulsive control for synchronization of nonlinear Rössler chaotic systems

Yang Li^*
, Xiao Feng Liao
, Chuan Dong Li
, Guo Chen

^*Corresponding author for this work

Chongqing University

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

26 Scopus citations

Abstract

This paper reports that an impulsive control theory for synchronization of nonlinear Rössler chaotic systems is developed. A new framework for impulsive synchronization between such chaotic systems is presented, which makes the synchronization error system a linear impulsive control system. Therefore, it is easy to derive the impulsive synchronization law. The proposed impulsive control scheme is illustrated by nonlinear Rössler chaotic systems and the simulation results demonstrate the effectiveness of the method.

Original language	English
Article number	021
Pages (from-to)	2890-2893
Number of pages	4
Journal	Chinese Physics (Overseas Edition)
Volume	15
Issue number	12
DOIs	https://doi.org/10.1088/1009-1963/15/12/021
State	Published - 1 Dec 2006
Externally published	Yes

Keywords

Chaos
Impulsive synchronization
Rö1ssler's system

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10.1088/1009-1963/15/12/021

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title = "Impulsive control for synchronization of nonlinear R{\"o}ssler chaotic systems",

abstract = "This paper reports that an impulsive control theory for synchronization of nonlinear R{\"o}ssler chaotic systems is developed. A new framework for impulsive synchronization between such chaotic systems is presented, which makes the synchronization error system a linear impulsive control system. Therefore, it is easy to derive the impulsive synchronization law. The proposed impulsive control scheme is illustrated by nonlinear R{\"o}ssler chaotic systems and the simulation results demonstrate the effectiveness of the method.",

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author = "Yang Li and Liao, \{Xiao Feng\} and Li, \{Chuan Dong\} and Guo Chen",

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AU - Li, Yang

AU - Liao, Xiao Feng

AU - Li, Chuan Dong

AU - Chen, Guo

PY - 2006/12/1

Y1 - 2006/12/1

N2 - This paper reports that an impulsive control theory for synchronization of nonlinear Rössler chaotic systems is developed. A new framework for impulsive synchronization between such chaotic systems is presented, which makes the synchronization error system a linear impulsive control system. Therefore, it is easy to derive the impulsive synchronization law. The proposed impulsive control scheme is illustrated by nonlinear Rössler chaotic systems and the simulation results demonstrate the effectiveness of the method.

AB - This paper reports that an impulsive control theory for synchronization of nonlinear Rössler chaotic systems is developed. A new framework for impulsive synchronization between such chaotic systems is presented, which makes the synchronization error system a linear impulsive control system. Therefore, it is easy to derive the impulsive synchronization law. The proposed impulsive control scheme is illustrated by nonlinear Rössler chaotic systems and the simulation results demonstrate the effectiveness of the method.

KW - Chaos

KW - Impulsive synchronization

KW - Rö1ssler's system

UR - https://www.scopus.com/pages/publications/33846060719

U2 - 10.1088/1009-1963/15/12/021

DO - 10.1088/1009-1963/15/12/021

M3 - 文章

AN - SCOPUS:33846060719

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JO - Chinese Physics (Overseas Edition)

JF - Chinese Physics (Overseas Edition)

IS - 12

M1 - 021

ER -

Impulsive control for synchronization of nonlinear Rössler chaotic systems

Abstract

Keywords

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