Adaptive H∞ synchronization for chaotic systems with UNKNOWN parameters and time-delay

Choon Ki Ahn; Bo Kyu Kwon; Young Sam Lee

doi:10.1166/asl.2010.1167

Adaptive H_∞ synchronization for chaotic systems with UNKNOWN parameters and time-delay

Choon Ki Ahn, Bo Kyu Kwon, Young Sam Lee

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

5 Citations (Scopus)

Abstract

This paper proposes a new adaptive H_infi synchronization method for time-delayed chaotic systems with unknown parameters. Based on Lyapunov-Krasovskii stability theory and linear matrix inequality (LMI) approach, a sufficient condition is derived to ensure that the proposed controller reduces the effect of external disturbance to an H_infi norm constraint. Moreover, this synchronization controller guarantees the adaptive synchronization of time-delayed chaotic systems when the external disturbance disappears. Finally, a numerical example with its computer simulations is provided to illustrate and verify the effectiveness of the proposed synchronization scheme.

Original language	English
Pages (from-to)	531-536
Number of pages	6
Journal	Advanced Science Letters
Volume	3
Issue number	4
DOIs	https://doi.org/10.1166/asl.2010.1167
Publication status	Published - 2010 Dec
Externally published	Yes

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Mathematics(all)
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abstract = "This paper proposes a new adaptive Hinfi synchronization method for time-delayed chaotic systems with unknown parameters. Based on Lyapunov-Krasovskii stability theory and linear matrix inequality (LMI) approach, a sufficient condition is derived to ensure that the proposed controller reduces the effect of external disturbance to an Hinfi norm constraint. Moreover, this synchronization controller guarantees the adaptive synchronization of time-delayed chaotic systems when the external disturbance disappears. Finally, a numerical example with its computer simulations is provided to illustrate and verify the effectiveness of the proposed synchronization scheme.",

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N2 - This paper proposes a new adaptive Hinfi synchronization method for time-delayed chaotic systems with unknown parameters. Based on Lyapunov-Krasovskii stability theory and linear matrix inequality (LMI) approach, a sufficient condition is derived to ensure that the proposed controller reduces the effect of external disturbance to an Hinfi norm constraint. Moreover, this synchronization controller guarantees the adaptive synchronization of time-delayed chaotic systems when the external disturbance disappears. Finally, a numerical example with its computer simulations is provided to illustrate and verify the effectiveness of the proposed synchronization scheme.

AB - This paper proposes a new adaptive Hinfi synchronization method for time-delayed chaotic systems with unknown parameters. Based on Lyapunov-Krasovskii stability theory and linear matrix inequality (LMI) approach, a sufficient condition is derived to ensure that the proposed controller reduces the effect of external disturbance to an Hinfi norm constraint. Moreover, this synchronization controller guarantees the adaptive synchronization of time-delayed chaotic systems when the external disturbance disappears. Finally, a numerical example with its computer simulations is provided to illustrate and verify the effectiveness of the proposed synchronization scheme.

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Adaptive H_∞ synchronization for chaotic systems with UNKNOWN parameters and time-delay

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