Anti-periodic solutions for recurrent neural networks without assuming global Lipschitz conditions
Electronic journal of differential equations, Tome 2010 (2010)
Zbl   EuDML
In this paper we study recurrent neural networks with time-varying delays and continuously distributed delays. Without assuming global Lipschitz conditions on the activation functions, we establish the existence and local exponential stability of anti-periodic solutions.
Classification : 34C25, 34D40
Keywords: recurrent neural networks, anti-periodic, exponential stability, delay
Zhang,  Hong; Wu,  Yuanheng. Anti-periodic solutions for recurrent neural networks without assuming global Lipschitz conditions. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a122/
@article{EJDE_2010__2010__a122,
     author = {Zhang,  Hong and Wu,  Yuanheng},
     title = {Anti-periodic solutions for recurrent neural networks without assuming global {Lipschitz} conditions},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1201.34112},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a122/}
}
TY  - JOUR
AU  - Zhang,  Hong
AU  - Wu,  Yuanheng
TI  - Anti-periodic solutions for recurrent neural networks without assuming global Lipschitz conditions
JO  - Electronic journal of differential equations
PY  - 2010
VL  - 2010
UR  - http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a122/
LA  - en
ID  - EJDE_2010__2010__a122
ER  - 
%0 Journal Article
%A Zhang,  Hong
%A Wu,  Yuanheng
%T Anti-periodic solutions for recurrent neural networks without assuming global Lipschitz conditions
%J Electronic journal of differential equations
%D 2010
%V 2010
%U http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a122/
%G en
%F EJDE_2010__2010__a122