Geodesic
Mean almost periodicity and moment exponential stability of discrete-time stochastic shunting inhibitory cellular neural networks with time delays
Kybernetika, Tome 55 (2019) no. 4, pp. 690-713

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

By using the semi-discrete method of differential equations, a new version of discrete analogue of stochastic shunting inhibitory cellular neural networks (SICNNs) is formulated, which gives a more accurate characterization for continuous-time stochastic SICNNs than that by Euler scheme. Firstly, the existence of the 2th mean almost periodic sequence solution of the discrete-time stochastic SICNNs is investigated with the help of Minkowski inequality, Hölder inequality and Krasnoselskii's fixed point theorem. Secondly, the moment global exponential stability of the discrete-time stochastic SICNNs is also studied by using some analytical skills and the proof of contradiction. Finally, two examples are given to demonstrate that our results are feasible. By numerical simulations, we discuss the effect of stochastic perturbation on the almost periodicity and global exponential stability of the discrete-time stochastic SICNNs.
DOI : 10.14736/kyb-2019-4-0690
Classification : 39A24, 39A30, 39A50, 92B20
Keywords: semi-discrete method; stochastic; Krasnoselskii's fixed point theorem; almost periodicity; global exponential stability 
@article{10_14736_kyb_2019_4_0690,
     author = {Zhang, Tianwei and Xu, Lijun},
     title = {Mean almost periodicity and moment exponential stability of discrete-time stochastic shunting inhibitory cellular neural networks with time delays},
     journal = {Kybernetika},
     pages = {690--713},
     publisher = {mathdoc},
     volume = {55},
     number = {4},
     year = {2019},
     doi = {10.14736/kyb-2019-4-0690},
     mrnumber = {4043543},
     zbl = {07177911},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-4-0690/}
}
TY  - JOUR
AU  - Zhang, Tianwei
AU  - Xu, Lijun
TI  - Mean almost periodicity and moment exponential stability of discrete-time stochastic shunting inhibitory cellular neural networks with time delays
JO  - Kybernetika
PY  - 2019
SP  - 690
EP  - 713
VL  - 55
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-4-0690/
DO  - 10.14736/kyb-2019-4-0690
LA  - en
ID  - 10_14736_kyb_2019_4_0690
ER  - 
%0 Journal Article
%A Zhang, Tianwei
%A Xu, Lijun
%T Mean almost periodicity and moment exponential stability of discrete-time stochastic shunting inhibitory cellular neural networks with time delays
%J Kybernetika
%D 2019
%P 690-713
%V 55
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-4-0690/
%R 10.14736/kyb-2019-4-0690
%G en
%F 10_14736_kyb_2019_4_0690
Zhang, Tianwei; Xu, Lijun. Mean almost periodicity and moment exponential stability of discrete-time stochastic shunting inhibitory cellular neural networks with time delays. Kybernetika, Tome 55 (2019) no. 4, pp. 690-713. doi: 10.14736/kyb-2019-4-0690

Cité par Sources :