A passivity approach to synchronization for time-delayed chaotic systems

Choon Ki Ahn

doi:10.1142/S0217984909021594

A passivity approach to synchronization for time-delayed chaotic systems

Choon Ki Ahn

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

9 Citations (Scopus)

Abstract

In this letter, we propose a new passivity-based synchronization method for time-delayed chaotic systems. Based on Lyapunov-Krasovskii theory and linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system for time-delayed chaotic systems not only passive but also asymptotically stable. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. As an application of the proposed method, the synchronization problem for chaotic delayed Hopfield neural networks is investigated.

Original language	English
Pages (from-to)	3531-3541
Number of pages	11
Journal	Modern Physics Letters B
Volume	23
Issue number	29
DOIs	https://doi.org/10.1142/S0217984909021594
Publication status	Published - 2009 Nov 20
Externally published	Yes

Keywords

Linear matrix inequality (LMI)
Lyapunov-Krasovskii theory
Passivity-based synchronization
Time-delayed chaotic systems

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Condensed Matter Physics

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AB - In this letter, we propose a new passivity-based synchronization method for time-delayed chaotic systems. Based on Lyapunov-Krasovskii theory and linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system for time-delayed chaotic systems not only passive but also asymptotically stable. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. As an application of the proposed method, the synchronization problem for chaotic delayed Hopfield neural networks is investigated.

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KW - Lyapunov-Krasovskii theory

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