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Li, Dengwang

Dynamical analysis for high-order delayed Hopfield neural networks with impulses. (English) Zbl 1253.93094

Abstr. Appl. Anal. 2012, Article ID 825643, 17 p. (2012).
Summary: The global exponential stability and uniform stability of the equilibrium point for high-order delayed Hopfield neural networks with impulses are studied. By utilizing Lyapunov functional method, the quality of negative definite matrix, and the linear matrix inequality approach, some new stability criteria for such system are derived. The results are related to the size of delays and impulses. Two examples are also given to illustrate the effectiveness of our results.

MSC:

93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
92B20 Neural networks for/in biological studies, artificial life and related topics

Keywords:

global exponential stability; uniform stability
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References:

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