Finite-Time Synchronization of Fractional-Order Complex-Valued Cohen-Grossberg Neural Networks with Mixed Time Delays and State-Dependent Switching

Xiaoxia Li, Yingzi Cao, Chi Zheng, Zhixin Feng, Guizhi Xu and Zine El Abiddine Fellah

Advances in Mathematical Physics, 2022, vol. 2022, 1-23

Abstract: This paper discussed the finite-time synchronization of fractional-order complex-valued Cohen-Grossberg neural networks (FCVCGNNs), which contain mixed time delays and state-dependent switching that make the model more comprehensive. Different from other methods, we use a method of nonseparating real and imaginary parts to get our conclusions. By applying fractional-order inequalities and the Lyapunov function, effective controllers with suitable conditions are derived. Additionally, the maximum time for the drive-response system to reach synchronization is also given. Finally, numerical examples are designed to illustrate the effectiveness of our obtained theoretical results.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:4227067

DOI: 10.1155/2022/4227067

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