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Zbl 1045.37056
Xu, Bingji; Liu, Xinzhi; Liao, Xiaoxin
Global asymptotic stability of high-order Hopfield type neural networks with time delays. (English)
[J] Comput. Math. Appl. 45, No. 10-11, 1729-1737 (2003). ISSN 0898-1221

Summary: This paper studies the global asymptotic stability of a class of high-order Hopfield-type neural networks with time delays. By utilizing Lyapunov functionals, we obtain some sufficient conditions for the global asymptotic stability of the equilibrium point of such neural networks in terms of linear matrix inequality. Numerical examples are given to illustrate the advantages of our approach.

MSC 2000:: *37N20 Dynamical systems in other branches of physics
34D23 Global stability
82C32 Neural nets
68T05 Learning and adaptive systems
94A08 Image processing
94A12 Signal theory

Keywords: Time delay; High-order Hopfield type neural networks; Global asymptotic stability; Numerical examples; Electrical circuit

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