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Zbl 1103.34067
Yang, Zhichun; Xu, Daoyi
Impulsive effects on stability of Cohen-Grossberg neural networks with variable delays. (English)
[J] Appl. Math. Comput. 177, No. 1, 63-78 (2006). ISSN 0096-3003

The authors analyze how the introduction of impulses into the continuous Cohen-Grossberg neural network with delays may affect its stability. Two questions arise: (i) Robustness of stability: whether the impulsive system remains stable when the original system is stable. (ii) Impulsive stabilization: whether the impulses are able to stabilize the original system when it is unstable. By means of two impulsive differential inequalities, sufficient conditions for the problems mentioned are given which improve and extend many previous stability criteria. These theoretical results are illustrated with a numerical study of two simple examples.
[Pedro J. Torres (Granada)]

MSC 2000:: *34K20 Stability theory of functional-differential equations
92B20 General theory of neural networks
34K45 Equations with impulses

Keywords: Cohen-Grossberg neural networks; impulsive effects; delays; global exponential stability; stabilization; impulsive differential inequalities

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