Anticipating synchronization of chaotic Lur'e systems

H.J.C. Huijberts; H. Nijmeijer; T. Oguchi

doi:10.1063/1.2710964

Anticipating synchronization of chaotic Lur'e systems

H.J.C. Huijberts, H. Nijmeijer, T. Oguchi

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Abstract

In this paper we consider the anticipating synchronization of chaotic time-delayed Lur'e-type systems in a master-slave setting. We introduce three scenarios for anticipating synchronization, and give sufficient conditions for the existence of anticipating synchronizing slave systems in terms of linear matrix inequalities. The results obtained are illustrated on a time-delayed Rössler system and a time-delayed Chua oscillator.

Original language	English
Article number	013117
Pages (from-to)	013117-1/13
Number of pages	13
Journal	Chaos
Volume	17
Issue number	1
DOIs	https://doi.org/10.1063/1.2710964
Publication status	Published - 2007

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title = "Anticipating synchronization of chaotic Lur'e systems",

abstract = "In this paper we consider the anticipating synchronization of chaotic time-delayed Lur'e-type systems in a master-slave setting. We introduce three scenarios for anticipating synchronization, and give sufficient conditions for the existence of anticipating synchronizing slave systems in terms of linear matrix inequalities. The results obtained are illustrated on a time-delayed R{\"o}ssler system and a time-delayed Chua oscillator.",

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AB - In this paper we consider the anticipating synchronization of chaotic time-delayed Lur'e-type systems in a master-slave setting. We introduce three scenarios for anticipating synchronization, and give sufficient conditions for the existence of anticipating synchronizing slave systems in terms of linear matrix inequalities. The results obtained are illustrated on a time-delayed Rössler system and a time-delayed Chua oscillator.

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DO - 10.1063/1.2710964

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