Adaptive ∞ chaos anti-synchronization

Choon Ki Ahn

doi:10.1088/0256-307X/27/3/030506

Adaptive _∞ chaos anti-synchronization

Choon Ki Ahn

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

2 Citations (Scopus)

Abstract

A new adaptive _∞ anti-synchronization (AHAS) method is proposed for chaotic systems in the presence of unknown parameters and external disturbances. Based on the Lyapunov theory and linear matrix inequality formulation, the AHAS controller with adaptive laws of unknown parameters is derived to not only guarantee adaptive anti-synchronization but also reduce the effect of external disturbances to an _∞ norm constraint. As an application of the proposed AHAS method, the _∞ anti-synchronization problem for Genesio-Tesi chaotic systems is investigated.

Original language	English
Article number	030506
Journal	Chinese Physics Letters
Volume	27
Issue number	3
DOIs	https://doi.org/10.1088/0256-307X/27/3/030506
Publication status	Published - 2010
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

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10.1088/0256-307X/27/3/030506

Cite this

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title = "Adaptive ∞ chaos anti-synchronization",

abstract = "A new adaptive ∞ anti-synchronization (AHAS) method is proposed for chaotic systems in the presence of unknown parameters and external disturbances. Based on the Lyapunov theory and linear matrix inequality formulation, the AHAS controller with adaptive laws of unknown parameters is derived to not only guarantee adaptive anti-synchronization but also reduce the effect of external disturbances to an ∞ norm constraint. As an application of the proposed AHAS method, the ∞ anti-synchronization problem for Genesio-Tesi chaotic systems is investigated.",

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AU - Ahn, Choon Ki

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N2 - A new adaptive ∞ anti-synchronization (AHAS) method is proposed for chaotic systems in the presence of unknown parameters and external disturbances. Based on the Lyapunov theory and linear matrix inequality formulation, the AHAS controller with adaptive laws of unknown parameters is derived to not only guarantee adaptive anti-synchronization but also reduce the effect of external disturbances to an ∞ norm constraint. As an application of the proposed AHAS method, the ∞ anti-synchronization problem for Genesio-Tesi chaotic systems is investigated.

AB - A new adaptive ∞ anti-synchronization (AHAS) method is proposed for chaotic systems in the presence of unknown parameters and external disturbances. Based on the Lyapunov theory and linear matrix inequality formulation, the AHAS controller with adaptive laws of unknown parameters is derived to not only guarantee adaptive anti-synchronization but also reduce the effect of external disturbances to an ∞ norm constraint. As an application of the proposed AHAS method, the ∞ anti-synchronization problem for Genesio-Tesi chaotic systems is investigated.

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DO - 10.1088/0256-307X/27/3/030506

M3 - Article

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VL - 27

JO - Chinese Physics Letters

JF - Chinese Physics Letters

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ER -

Adaptive _∞ chaos anti-synchronization

Abstract

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