Exponential multistability of memristive Cohen-Grossberg neural networks with stochastic parameter perturbations
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.
Item Type | Article |
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Additional information | © 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/. |
Keywords | exponential multistability, memristive cohen-grossberg neural network, stable equilibrium point, stochastic parameter perturbation, computational mathematics, applied mathematics |
Date Deposited | 15 May 2025 14:22 |
Last Modified | 31 May 2025 00:25 |