Estimation of the domain of attraction and the convergence rate of a Hopfield associative memory and an application

DOI10.1006/jcss.1999.1679zbMath0988.37016OpenAlexW2051118878MaRDI QIDQ1975971

Qing Tao, Cao, Jinde

Publication date: 22 July 2002

Published in: Journal of Computer and System Sciences (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e8d6751a511050b4ce1692eed80ee8cbd016b169

zbMATH Keywords

domain of attractionLyapunov methodassociative memoryexponential convergence rateHopfield continuous feedback neural network

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Stability of topological dynamical systems (37B25) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Neural networks for/in biological studies, artificial life and related topics (92B20)

Related Items (15)

CONVERGENCE OF DISCRETE-TIME RECURRENT NEURAL NETWORKS WITH VARIABLE DELAY ⋮ GUARANTEED ATTRACTIVITY OF EQUILIBRIUM POINTS IN A CLASS OF DELAYED NEURAL NETWORKS ⋮ Almost periodic solution of shunting inhibitory cellular neural networks with time-varying delay ⋮ Global exponential stability of reaction-diffusion recurrent neural networks with time-varying delays ⋮ Existence and attractivity of almost periodic solution for recurrent neural networks with unbounded delays and variable coefficients ⋮ An estimation of the domain of attraction and convergence rate for Hopfield continuous feedback neural networks ⋮ Exponential stability in Hopfield-type neural networks with impulses ⋮ Robust exponential stability and domains of attraction in a class of interval neural networks ⋮ New estimate on the domains of attraction of equilibrium points in continuous Hopfield neural networks ⋮ Estimation on domain of attraction and convergence rate of Hopfield continuous feedback neural networks ⋮ A domain attraction criterion for interval fuzzy neural networks ⋮ Local stability and attractive basin of Cohen-Grossberg neural networks ⋮ New results concerning exponential stability and periodic solutions of delayed cellular neural networks ⋮ Global exponential stability and periodic solutions of recurrent neural networks with delays ⋮ Global exponential stability and existence of periodic solutions of CNNs with delays

Cites Work

• Qualitative analysis of large scale dynamical systems
• A synthesis procedure for Hopfield's continuous-time associative memory
• Neurons with graded response have collective computational properties like those of two-state neurons.

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