摘要
This article explores the O(t^(-β))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 O(t^(-β))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.
作者
Anbalagan PRATAP
Ramachandran RAJA
曹进德
黄创霞
Jehad ALZABUT
Ovidiu BAGDASAR
Anbalagan PRATAP;Ramachandran RAJA;Jinde CAO;Chuangxia HUANG;Jehad ALZABUT;Ovidiu BAGDASAR(Department of Mathematics,Alagappa University,Karaikudi 630004,India;Ramanujan Centre for Higher Mathematics,Alagappa University,Karaikudi 630004,India;School of Mathematics,Southeast University,Nanjing 211189,China;Yonsei Frontier Lab,Yonsei University,Seoul03722,South Korea;Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering,Changsha University of Science and Technology,Changsha410114,China;Department of Mathematics and General Sciences,Prince Sultan University,Riyadh 12435,Saudi Arabia;Department of Electronics,Computing and Mathematics,University of Derby,United Kingdom)
基金
joint financial support of Thailand Research Fund RSA 6280004,RUSA-Phase 2.0 Grant No.F 24-51/2014-U
Policy(TN Multi-Gen),Dept.of Edn.Govt.of India,UGC-SAP(DRS-I)Grant No.F.510/8/DRS-I/2016(SAP-I)
DST(FIST-level I)657876570 Grant No.SR/FIST/MS-I/2018/17
Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics(NAMAM)group number RG-DES-2017-01-17。
