TY - JOUR
T1 - Exponential multistability of memristive Cohen-Grossberg neural networks with stochastic parameter perturbations
AU - Yao, Wei
AU - Wang, Chunhua
AU - Sun, Yichuang
AU - Zhou, Chao
AU - Lin, Hairong
N1 - © 2020 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/.
PY - 2020/12/1
Y1 - 2020/12/1
N2 - Due to instability being induced easily by parameter disturbances of network systems, this paper investigates the multistability of memristive Cohen-Grossberg neural networks (MCGNNs) under stochastic parameter perturbations. It is demonstrated that stable equilibrium points of MCGNNs can be flexibly located in the odd-sequence or even-sequence regions. Some sufficient conditions are derived to ensure the exponential multistability of MCGNNs under parameter perturbations. It is found that there exist at least (w+2) l (or (w+1) l) exponentially stable equilibrium points in the odd-sequence (or the even-sequence) regions. In the paper, two numerical examples are given to verify the correctness and effectiveness of the obtained results.
AB - Due to instability being induced easily by parameter disturbances of network systems, this paper investigates the multistability of memristive Cohen-Grossberg neural networks (MCGNNs) under stochastic parameter perturbations. It is demonstrated that stable equilibrium points of MCGNNs can be flexibly located in the odd-sequence or even-sequence regions. Some sufficient conditions are derived to ensure the exponential multistability of MCGNNs under parameter perturbations. It is found that there exist at least (w+2) l (or (w+1) l) exponentially stable equilibrium points in the odd-sequence (or the even-sequence) regions. In the paper, two numerical examples are given to verify the correctness and effectiveness of the obtained results.
KW - Exponential multistability
KW - Memristive Cohen-Grossberg neural network
KW - Stable equilibrium point
KW - Stochastic parameter perturbation
UR - http://www.scopus.com/inward/record.url?scp=85086829566&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2020.125483
DO - 10.1016/j.amc.2020.125483
M3 - Article
SN - 0096-3003
VL - 386
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
M1 - 125483
ER -