Behavior of impulsive fuzzy cellular neural networks with distributed delays
Electronic journal of differential equations, Tome 2007 (2007)
In this paper, we investigate a generalized model of fuzzy cellular neural networks with distributed delays and impulses. By employing the theory of topological degree, M-matrix and Lypunov functional, we find sufficient conditions for the existence, uniqueness and global exponential stability of both the equilibrium point and the periodic solution. Two examples are given to illustrate the results obtained here.
Classification :
92B20, 34K20, 34K13
Keywords: fuzzy cellular neural networks, impulses, distributed delays, global exponential stability, periodic oscillatory solution
Keywords: fuzzy cellular neural networks, impulses, distributed delays, global exponential stability, periodic oscillatory solution
@article{EJDE_2007__2007__a196,
author = {Li, Kelin and Li, Zuoan and Song, Qiankun},
title = {Behavior of impulsive fuzzy cellular neural networks with distributed delays},
journal = {Electronic journal of differential equations},
year = {2007},
volume = {2007},
zbl = {1274.92006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a196/}
}
TY - JOUR AU - Li, Kelin AU - Li, Zuoan AU - Song, Qiankun TI - Behavior of impulsive fuzzy cellular neural networks with distributed delays JO - Electronic journal of differential equations PY - 2007 VL - 2007 UR - http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a196/ LA - en ID - EJDE_2007__2007__a196 ER -
Li, Kelin; Li, Zuoan; Song, Qiankun. Behavior of impulsive fuzzy cellular neural networks with distributed delays. Electronic journal of differential equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a196/