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Existence and exponential stability of periodic solutions for a class of Cohen–Grossberg neural networks with bounded and unbounded delays

✍ Scribed by Fei Long; Yixuan Wang; Shuzi Zhou

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
222 KB
Volume
8
Category
Article
ISSN
1468-1218

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✦ Synopsis

In this paper, a class of Cohen-Grossberg neural networks with bounded and unbounded delays are considered. Without assuming the boundedness, monotonicity, and differentiability of activation functions and any symmetry of interconnections, sufficient conditions for the existence and exponential stability of the periodic solutions are established by using the coincidence degree theorem and differential inequality techniques. The results of this paper are new and they complement previously known results.

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