An H∞ approach to anti-synchronization for chaotic systems

Choon Ki Ahn

doi:10.1016/j.physleta.2009.03.032

An H_∞ approach to anti-synchronization for chaotic systems

Choon Ki Ahn

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

59 Citations (Scopus)

Abstract

In this Letter, we propose a new H_∞ anti-synchronization scheme for a general class of chaotic systems. Based on Lyapunov theory and linear matrix inequality (LMI) approach, for the first time, the H _∞ antisynchronization controller is presented to not only guarantee stable anti-synchronization but also reduce the effect of external disturbance to an H_∞ norm constraint. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. Simulation study is presented to demonstrate the effectiveness of the proposed anti-synchronization scheme.

Original language	English
Pages (from-to)	1729-1733
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	373
Issue number	20
DOIs	https://doi.org/10.1016/j.physleta.2009.03.032
Publication status	Published - 2009 Apr 27
Externally published	Yes

Bibliographical note

Funding Information:
This Letter was supported by Wonkwang University in 2009.

Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

Keywords

Chaotic systems
Linear matrix inequality (LMI)
Lyapunov theory

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1016/j.physleta.2009.03.032

Cite this

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