Exponential multistability of memristive Cohen-Grossberg neural networks with stochastic parameter perturbations

Yao, Wei, Wang, Chunhua, Sun, Yichuang, Zhou, Chao and Lin, Hairong (2020) Exponential multistability of memristive Cohen-Grossberg neural networks with stochastic parameter perturbations. Applied Mathematics and Computation, 386: 125483. ISSN 0096-3003
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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.


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