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Zbl 1222.34090
Li, Changzhao; Li, Yongkun; Ye, Yuan
Exponential stability of fuzzy Cohen-Grossberg neural networks with time delays and impulsive effects. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 15, No. 11, 3599-3606 (2010). ISSN 1007-5704

Summary: We investigate a class of fuzzy Cohen-Grossberg neural networks with time delays and impulsive effects. By employing an inequality technique, we find sufficient conditions for the existence, uniqueness, global exponential stability of the equilibrium without using the $M$-matrix theory. An example is given to illustrate the effectiveness of the obtained results.

MSC 2000:: *34K20 Stability theory of functional-differential equations
34K36
34A09 Implicit equations
34K45 Equations with impulses
92B20 General theory of neural networks

Keywords: fuzzy Cohen; Grossberg neural networks (FCGNNs); global exponential stability; time delays; impulsive effects

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