A new method for complete stability analysis of cellular neural networks with time delay

Wu-Hua Chen; Wei Xing Zheng

doi:10.1109/TNN.2010.2048925

A new method for complete stability analysis of cellular neural networks with time delay

Wu-Hua Chen, Wei Xing Zheng

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

47 Citations (Scopus)

Abstract

This paper presents new complete stability results for delayed cellular neural networks (DCNNs). A novel method is proposed for complete stability analysis of DCNNs. By applying the M-matrix theory and introducing some new estimation techniques on the solutions of DCNNs, a simple and improved complete stability criterion is derived. The new criterion unifies the delay-dependent and delay-independent complete stability conditions for DCNNs. Moreover, the obtained delay-dependent criterion can give a larger upper bound of the time delay than the existing ones such that the complete stability can still be retained. Numerical examples are presented which show that the new complete stability results for DCNNs are compared favorably with the existing results.

Original language	English
Pages (from-to)	1126-1139
Number of pages	14
Journal	IEEE transactions on neural networks
Volume	21
Issue number	7
DOIs	https://doi.org/10.1109/TNN.2010.2048925
Publication status	Published - 2010

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10.1109/TNN.2010.2048925

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title = "A new method for complete stability analysis of cellular neural networks with time delay",

abstract = "This paper presents new complete stability results for delayed cellular neural networks (DCNNs). A novel method is proposed for complete stability analysis of DCNNs. By applying the M-matrix theory and introducing some new estimation techniques on the solutions of DCNNs, a simple and improved complete stability criterion is derived. The new criterion unifies the delay-dependent and delay-independent complete stability conditions for DCNNs. Moreover, the obtained delay-dependent criterion can give a larger upper bound of the time delay than the existing ones such that the complete stability can still be retained. Numerical examples are presented which show that the new complete stability results for DCNNs are compared favorably with the existing results.",

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AU - Zheng, Wei Xing

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AB - This paper presents new complete stability results for delayed cellular neural networks (DCNNs). A novel method is proposed for complete stability analysis of DCNNs. By applying the M-matrix theory and introducing some new estimation techniques on the solutions of DCNNs, a simple and improved complete stability criterion is derived. The new criterion unifies the delay-dependent and delay-independent complete stability conditions for DCNNs. Moreover, the obtained delay-dependent criterion can give a larger upper bound of the time delay than the existing ones such that the complete stability can still be retained. Numerical examples are presented which show that the new complete stability results for DCNNs are compared favorably with the existing results.

UR - http://handle.uws.edu.au:8081/1959.7/534812

U2 - 10.1109/TNN.2010.2048925

DO - 10.1109/TNN.2010.2048925

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JO - IEEE transactions on neural networks

JF - IEEE transactions on neural networks

IS - 7

ER -

A new method for complete stability analysis of cellular neural networks with time delay

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