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Global synchronization of neural networks with hybrid coupling: a delay interval segmentation approach

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Abstract

The global synchronization of coupled neural networks with hybrid coupling has been studied in this paper. The hybrid coupling is formed from constant coupling, discrete-delay coupling, and distributed-delay coupling. In this regard, a larger class and more complicated coupled neural networks lead in the synchronization problem procedure. According to the new augmented Lyapunov–Krasovskii functional and the idea of M-segmentation of delay length, a less conservative delay-dependent criterion is obtained and expressed in the form of linear matrix inequalities. In many cases, due to the increasing segmentation number, the delay length M-segmentation method could give an opportunity to the user to find a bigger upper bound of the maximum allowable time delay. The effectiveness of suggested method above is proved by simulating a numerical example on a typical chaotic cellular neural network. The results show that the above-mentioned method is less conservative than the other methods reviewed in this article.

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Authors and Affiliations

  1. Department of Electrical Engineering, Tafresh University, Tafresh, 39518-79611, Iran

    Ali Kazemy

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  1. Ali Kazemy
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Correspondence to Ali Kazemy.

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Kazemy, A. Global synchronization of neural networks with hybrid coupling: a delay interval segmentation approach. Neural Comput & Applic 30, 627–637 (2018). https://doi.org/10.1007/s00521-016-2661-5

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  • DOI: https://doi.org/10.1007/s00521-016-2661-5

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