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Positive invariant sets and global exponential attractive sets of a class of neural networks with unbounded time-delays

✍ Scribed by Zhengwen Tu; Jigui Jian; Baoxian Wang

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 267 KB
Volume: 16
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2010.12.013

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✦ Synopsis

inequality a b s t r a c t In this paper, we study the positive invariant sets and global exponential attractive sets for a class of neural networks with unbounded time-delays. Based on the assumption for the activation function satisfying the global Lipschitz condition, several algebraic criterions for the aforementioned sets are obtained by constructing proper Lyapunov functions and employing Young inequality. Finally, examples are given and analyzed to demonstrate our results.

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