L2-L∞ chaos synchronization

Choon Ki Ahn

doi:10.1143/PTP.123.421

L₂-L_∞ chaos synchronization

Choon Ki Ahn

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

14 Citations (Scopus)

Abstract

In this paper, we propose an L₂-L_∞ synchronization scheme as a new robust synchronization method for chaotic systems with external disturbance. On the basis of linear matrix inequality (LMI) formulation, for the first time, the L₂-L_∞ synchronization controller is presented to not only guarantee asymptotical synchronization of chaotic systems but also reduce the effect of external disturbance to an L₂-L_∞ induced norm constraint. It is shown that the design of the £₂-L_∞ synchronization controller can be achieved by solving LMIs, which can be easily facilitated by using some standard numerical packages. Simulation study is presented to demonstrate the effectiveness of the proposed L₂-L _∞ synchronization scheme.

Original language	English
Pages (from-to)	421-430
Number of pages	10
Journal	Progress of Theoretical Physics
Volume	123
Issue number	3
DOIs	https://doi.org/10.1143/PTP.123.421
Publication status	Published - 2010 Mar
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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L₂-L_∞ chaos synchronization

Abstract

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