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Zbl 1097.34053
Cao, Jinde; Li, Xiaolin
Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach. (English)
[J] Physica D 212, No. 1-2, 54-65 (2005). ISSN 0167-2789

The authors investigate stability problems for a class of delayed Cohen-Grossberg neural networks. On the basis of the linear matrix inequality (LMI) optimization approach, and also by combining the Lyapunov-Krasovskii functional method with the Halanay inequality technique, several new sufficient criteria are given for establishing global asymptotic stability and exponential stability of the equilibrium point for this system.
[Ivanka Stamova (Bourgas)]

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

Keywords: Cohen-Grossberg; neural networks; asymptotic stability; Lyapunov-Krasovskii functional; linear matrix inequality

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