Global robust dissipativity of integro-differential systems modelling neural networks with time delay
Electronic journal of differential equations, Tome 2007 (2007)
In this paper, the global robust dissipativity of integro-differential systems modeling neural networks with time delay is studied. Several sufficient conditions are derived to ensure the global robust dissipativity of the neural networks proposed by using proper Lyapunov functionals and some analytic techniques. The results are shown to improve the previous global dissipativity results derived in the literature. Some examples are given to illustrate the correctness of our results.
Classification :
45J05, 92B20
Keywords: neural network, integro-differential system, global dissipativity, Lyapunov functional
Keywords: neural network, integro-differential system, global dissipativity, Lyapunov functional
@article{EJDE_2007__2007__a150,
author = {Cui, Baotong and Lou, Xuyang},
title = {Global robust dissipativity of integro-differential systems modelling neural networks with time delay},
journal = {Electronic journal of differential equations},
year = {2007},
volume = {2007},
zbl = {1135.45003},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a150/}
}
TY - JOUR AU - Cui, Baotong AU - Lou, Xuyang TI - Global robust dissipativity of integro-differential systems modelling neural networks with time delay JO - Electronic journal of differential equations PY - 2007 VL - 2007 UR - http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a150/ LA - en ID - EJDE_2007__2007__a150 ER -
%0 Journal Article %A Cui, Baotong %A Lou, Xuyang %T Global robust dissipativity of integro-differential systems modelling neural networks with time delay %J Electronic journal of differential equations %D 2007 %V 2007 %U http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a150/ %G en %F EJDE_2007__2007__a150
Cui, Baotong; Lou, Xuyang. Global robust dissipativity of integro-differential systems modelling neural networks with time delay. Electronic journal of differential equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a150/