๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Convergence for a class of delayed recurrent neural networks without M-matrix condition

โœ Scribed by Bingwen Liu; Shuhua Gong; Xuejun Yi; Lihong Huang


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
364 KB
Volume
233
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

โœฆ Synopsis


In this paper, we investigate the asymptotic behavior of solutions to a class of recurrent neural network model with delays. Without assuming M-matrix condition, it is shown that every solution of the network tends to an equilibrium point as t โ†’ โˆž. Our results improve and extend some corresponding ones already known.


๐Ÿ“œ SIMILAR VOLUMES


An anti-periodic solution for a class of
โœ Jianying Shao ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 823 KB

In this paper recurrent neural networks with time-varying delays and continuously distributed delays are considered. Sufficient conditions for the existence and exponential stability of the anti-periodic solutions are established, which are new and complement previously known results.

Global exponential stability for a class
โœ Qiang Xi ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 152 KB

In this paper, by utilizing Lyapunov functional method, the quality of negative definite matrix and the linear matrix inequality approach, the global exponential stability of the equilibrium point for a class of generalized delayed neural networks with impulses is investigated. A new criterion on gl