Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays. (English) Zbl 1186.82062

Wang, Linshan; Xu, Daoyi

Sci. China, Ser. F 46, No. 6, 466-474 (2003).

Summary: The authors analyze the existence of the equilibrium point and global exponential stability for Hopfield reaction-diffusion neural networks with time-varying delays by means of the topological degree theory and generalized Halanay inequality. Since the diffusion phenomena and time delay could not be ignored in neural networks and electric circuits, the model presented here is close to the actual systems, and the sufficient conditions on global exponential stability established in this paper, which are easily verifiable, have a wider adaptive range.

MSC:

82C32	Neural nets applied to problems in time-dependent statistical mechanics
68T05	Learning and adaptive systems in artificial intelligence
92B20	Neural networks for/in biological studies, artificial life and related topics

Keywords:

neural networks; reaction-diffusion; delay; stability