Stability of Cohen-Grossberg-type Fuzzy Cellular Neural Networks with Distributed Delays and Impulses

Author

Li, Kelin ; Liang, Jinming

Author_Institution

Sch. of Sci., Sichuan Univ. of Sci. & Eng., Zigong, China

Volume

4

fYear

2009

fDate

19-21 May 2009

Firstpage

160

Lastpage

166

Abstract

In this paper, a generalized model of Cohen-Grossberg-type fuzzy cellular neural networks (FCNNs) with distributed delays and impulses is formulated and investigated. By employing the delay differential inequality with impulses initial conditions and the M-matrix theory, some sufficient conditions ensuring the existence, uniqueness and global exponential stability of equilibrium point for Cohen-Grossberg-type FCNNs with distributed delays and impulses are obtained. In particular, more precise estimate of exponential convergence rate is provided. An example are given to show the effectiveness of the obtained results.

Keywords

asymptotic stability; cellular neural nets; convergence; delays; fuzzy neural nets; integro-differential equations; matrix algebra; Cohen-Grossberg-type fuzzy cellular neural network; FCNN; M-matrix theory; convergence rate; delay differential inequality; distributed delay; distributed impulse; equilibrium point; global exponential stability; integro-differential equation; Artificial neural networks; Cellular neural networks; Delay effects; Fuzzy logic; Fuzzy neural networks; Fuzzy systems; Image processing; Neural networks; Recurrent neural networks; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Systems, 2009. GCIS '09. WRI Global Congress on

Conference_Location

Xiamen

Print_ISBN

978-0-7695-3571-5

Type

conf

DOI

10.1109/GCIS.2009.277

Filename

5209318