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Global stability analysis in hopfield neural networks

โœ Scribed by Jiye Zhang

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
399 KB
Volume
16
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

In this paper, one approach is employed to investigate the existence and uniqueness of the equilibrium and the global attrsctivity of Hopfield neural network models. Without assuming the boundedness, monotonicity, and differentiability of the activation functions, by using M-matrix theory, Liapunov functions are constructed and employed to establish sufficient conditions for global asymptotic stability.

๐Ÿ“œ SIMILAR VOLUMES

Global exponential stability and global
Global exponential stability and global attractivity of impulsive Hopfield neural networks with time delays
โœ Xilin Fu; Xiaodi Li ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 1014 KB

In this paper, by means of constructing the extended impulsive delayed Halanay inequality and by Lyapunov functional methods, we analyze the global exponential stability and global attractivity of impulsive Hopfield neural networks with time delays. Some new sufficient conditions ensuring exponentia