Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Finite Time Synchronization for Stochastic Fractional-Order Memristive BAM Neural Networks with Multiple Delays

Version 1 : Received: 18 August 2023 / Approved: 22 August 2023 / Online: 22 August 2023 (09:51:34 CEST)

A peer-reviewed article of this Preprint also exists.

Chen, L.; Gong, M.; Zhao, Y.; Liu, X. Finite-Time Synchronization for Stochastic Fractional-Order Memristive BAM Neural Networks with Multiple Delays. Fractal Fract. 2023, 7, 678. Chen, L.; Gong, M.; Zhao, Y.; Liu, X. Finite-Time Synchronization for Stochastic Fractional-Order Memristive BAM Neural Networks with Multiple Delays. Fractal Fract. 2023, 7, 678.

Abstract

This paper studies the finite-time synchronization problem of fractional-order stochastic memristive bidirectional associative memory neural networks (MBAMNNs) with discontinuous jumps. A novel criterion for finite-time synchronization is obtained by utilizing the properties of quadratic fractional-order Gronwall inequality with time delay and the comparison principle. This criterion provides a new approach to analyze the finite-time synchronization problem of neural networks with stochasticity. Finally, numerical simulations are provided to demonstrate the effectiveness and superiority of the obtained results.

Keywords

stochastic; fractional-order; memristive BAM neural networks; finite-time synchronization; quadratic gronwall inequality

Subject

Computer Science and Mathematics, Applied Mathematics

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