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Zbl 1151.68583
Huang, Tingwen; Chan, Andrew; Huang, Yu; Cao, Jinde
Stability of Cohen-Grossberg neural networks with time-varying delays.
(English)
[J] Neural Netw. 20, No. 8, 868-873 (2007). ISSN 0893-6080

Summary: We investigate the existence and stability of the equilibrium point of Cohen-Grossberg neural networks with time-varying delays. Under easily verified conditions, exponential stability is obtained when the delay is finite, while asymptotic stability is obtained when the delay is infinite. Moreover, the stability obtained is robust. The only condition for the delay term is continuity. The results obtained here improve and extend to those in the literature.
MSC 2000:
*68T05 Learning and adaptive systems

Keywords: Exponential stability; asymptotic stability; Cohen-Grossberg neural networks; time-varying delays

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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