Stability analyses of cellular neural networks with continuous time delay

The stability of cellular neural networks (CNNs) with continuous time delay is investigated in the present paper. A main theorem together with a few corollaries related to the existence and boundedness of the solution for this kind of CNNs, as well as its global asymptotic stability is derived. Some...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2002-06, Vol.143 (1), p.29-47
Main Authors: Liao, Xiaofeng, Wu, Zhongfu, Yu, Juebang
Format: Article
Language:English
Subjects:
Boundedness
Cellular neural networks
Continuous time delay
Exact sciences and technology
Existence
Mathematical analysis
Mathematics
Ordinary differential equations
Sciences and techniques of general use
Stability
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Summary:The stability of cellular neural networks (CNNs) with continuous time delay is investigated in the present paper. A main theorem together with a few corollaries related to the existence and boundedness of the solution for this kind of CNNs, as well as its global asymptotic stability is derived. Some numerical simulation examples aimed at justifying the theoretical results are also given.
ISSN:0377-0427
1879-1778
DOI:10.1016/S0377-0427(01)00503-9