$\mathcal{O}(t^{-\beta})$-SYNCHRONIZATION AND ASYMPTOTIC SYNCHRONIZATION OF DELAYED FRACTIONAL ORDER NEURAL NETWORKS

doi:10.1007/s10473-022-0402-7

Abstract

Abstract: This article explores the $\mathcal{O}(t^{-\beta})$ synchronization and asymptotic synchronization for fractional order BAM neural networks (FBAMNNs) with discrete delays, distributed delays and non-identical perturbations. By designing a state feedback control law and a new kind of fractional order Lyapunov functional, a new set of algebraic sufficient conditions are derived to guarantee the $\mathcal{O}(t^{-\beta})$ Synchronization and asymptotic synchronization of the considered FBAMNNs model; this can easily be evaluated without using a MATLAB LMI control toolbox. Finally, two numerical examples, along with the simulation results, illustrate the correctness and viability of the exhibited synchronization results.

Key words: $\mathbf{\mathcal{O}(t^{-\beta})}$-synchronization, asymptotic synchronization, BAM neural networks, fractional order, state feedback control law

CLC Number:

34K24

Anbalagan PRATAP, Ramachandran RAJA, Jinde CAO, Chuangxia HUANG, Chuangxia HUANG, Ovidiu BAGDASAR. $\mathcal{O}(t^{-\beta})$-SYNCHRONIZATION AND ASYMPTOTIC SYNCHRONIZATION OF DELAYED FRACTIONAL ORDER NEURAL NETWORKS[J].Acta mathematica scientia,Series B, 2022, 42(4): 1273-1292.

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