H∞ synchronization of chaotic neural networks with time-varying delays

O. M. Kwon; M. J. Park; Ju H. Park; S. M. Lee; E. J. Cha

doi:10.1088/1674-1056/22/11/110504

H∞ synchronization of chaotic neural networks with time-varying delays

O. M. Kwon, M. J. Park, Ju H. Park, S. M. Lee, E. J. Cha

School of Electronics Engineering

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

10 Scopus citations

Abstract

In this paper, we investigate the problem of ∞ synchronization for chaotic neural networks with time-varying delays. A new model of the networks with disturbances in both master and slave systems is presented. By constructing a suitable Lyapunov - Krasovskii functional and using a reciprocally convex approach, a novel ∞ synchronization criterion for the networks concerned is established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed method.

Original language	English
Article number	110504
Journal	Chinese Physics B
Volume	22
Issue number	11
DOIs	https://doi.org/10.1088/1674-1056/22/11/110504
State	Published - Nov 2013

Keywords

chaotic neural networks
H∞ synchronization
Lyapunov method
time-varying delays

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10.1088/1674-1056/22/11/110504

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abstract = "In this paper, we investigate the problem of ∞ synchronization for chaotic neural networks with time-varying delays. A new model of the networks with disturbances in both master and slave systems is presented. By constructing a suitable Lyapunov - Krasovskii functional and using a reciprocally convex approach, a novel ∞ synchronization criterion for the networks concerned is established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed method.",

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AU - Cha, E. J.

PY - 2013/11

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AB - In this paper, we investigate the problem of ∞ synchronization for chaotic neural networks with time-varying delays. A new model of the networks with disturbances in both master and slave systems is presented. By constructing a suitable Lyapunov - Krasovskii functional and using a reciprocally convex approach, a novel ∞ synchronization criterion for the networks concerned is established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed method.

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KW - H∞ synchronization

KW - Lyapunov method

KW - time-varying delays

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ER -

H∞ synchronization of chaotic neural networks with time-varying delays

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