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Stability analysis of almost periodic solutions for delayed neural networks without global Lipschitz activation functions

✍ Scribed by Jun Zhou; Weirui Zhao; Xiaohong Lv; Huaping Zhu

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
449 KB
Volume
81
Category
Article
ISSN
0378-4754

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✦ Synopsis

In this paper, the existence and local exponential stability of the almost periodic solutions for recurrent neural networks with mixed delays have been investigated. By applying Dini derivative and introducing many real parameters, and estimating the upper bound of solutions of the system, a series of new and useful criteria on the existence and local exponential stability of almost periodic for general delayed neural networks without global Lipschitz activation functions have been derived. Those results obtained in this paper extend and generalize the corresponding results existing in the previous literature. Two examples and numerical simulations are given to illustrate our theory.

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