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Global exponential stability of high-order Hopfield-type neural networks with S-type distributed time delays

✍ Scribed by Yangfan Wang; Chunge Lu; Guangrong Ji; Linshan Wang

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
225 KB
Volume
16
Category
Article
ISSN
1007-5704

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✦ Synopsis

This paper studies the problems of global exponential stability of high-order Hopfield-type neural networks with s-type distributed time delays. By using the topological degree theory and differential inequality technique, we prove existence of the equilibrium point and global existence of the solutions. We obtain some sufficient conditions on global exponential stability in terms of intercept equation, which are easily verifiable and have a wider adaptive. An example is also discussed to illustrate our results.

πŸ“œ SIMILAR VOLUMES

Global exponential stability and global
Global exponential stability and global attractivity of impulsive Hopfield neural networks with time delays
✍ Xilin Fu; Xiaodi Li πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 1014 KB

In this paper, by means of constructing the extended impulsive delayed Halanay inequality and by Lyapunov functional methods, we analyze the global exponential stability and global attractivity of impulsive Hopfield neural networks with time delays. Some new sufficient conditions ensuring exponentia