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2003•International Journal of Systems ScienceRequires access

On feedback-controlled synchronization of chaotic systems

Xiaoxin Liao, Guanrong Chen

Open publisher page 27 citations

Abstract

This paper studies a general setting of chaos synchronization in the form of a generalized Lur’e system, which includes both the classical and an earlier version of generalized Lur’e systems as special cases. More significantly, for this general setting, some fairly simple and easily used algebraic conditions are derived for verification and design of unidirectional feedback-controlled chaos synchronization. The Chen and Rössler systems are used as examples for illustration.

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What this paper is about

This paper studies a general setting of chaos synchronization in the form of a generalized Lur’e system, which includes both the classical and an earlier version of generalized Lur’e systems as special cases. More significantly, for this general setting, some fairly simple and easily used algebraic conditions are derived for verification and design of unidirectional feedback-controlled chaos synchronization. The Chen and Rössler systems are used as examples for illustration.

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OpenAlex reports 27 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper studies a general setting of chaos synchronization in the form of a generalized Lur’e system, which includes both the classical and an earlier version of generalized Lur’e systems as special cases. More significantly, for this general setting, some fairly simple and easily used algebraic conditions are derived for verification and design of unidirectional feedback-controlled chaos synchronization. The Chen and Rössler systems are used as examples for illustration.

Key concepts: Synchronization (alternating current), CHAOS (operating system), Chen, Synchronization of chaos, Simple (philosophy), Control theory (sociology), Algebraic number, Computer science

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