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新疆大学数学与系统科学学院
Published:2021
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[1]冯靓,胡成,于娟.耦合忆阻复值神经网络的固定时间同步[J].新疆大学学报(自然科学版)(中英文),2021,38(02):129-143.
[1]冯靓,胡成,于娟.耦合忆阻复值神经网络的固定时间同步[J].新疆大学学报(自然科学版)(中英文),2021,38(02):129-143. DOI: 10.13568/j.cnki.651094.651316.2020.02.20.0003.
DOI:10.13568/j.cnki.651094.651316.2020.02.20.0003.
本文研究了具有时变时滞的耦合忆阻复值神经网络的固定时间同步.首先
引入了复值符号函数来避开传统的分离方法
并建立了一个新的固定时间稳定定理来改进已有的相关结论;然后
通过设计不连续控制策略
利用微分包含理论
建立了主从耦合忆阻复值神经网络的固定时间同步判据.本文的控制策略并不包含线性部分
简化了传统的控制设计;最后
通过数值实例对理论结果进行了验证.
This paper investigates the fixed-time synchronization of coupled memristive complex-valued neural networks(MCNNs) with time-varying delay. Firstly
a complex-valued sign function is introduced to avoid the common separation technique and a new fixed-time stability theorem is established to improve the existing ones. Afterward
by proposing a discontinuous control scheme and applying differential inclusion theory
some criteria are derived to achieve fixed-time synchronization of master-salve coupled MCNNs. The developed control scheme here simplifies the traditional design by excluding the linear part.Finally
a numerical example is given to validate of the theoretical results.
CHUA L.Memristor the missing circuit element[J].IEEE Transactions on Circuits Theory,1971,18:507-519.
LI C,SHE K,ZHONG S.Extended robust global exponential stability for uncertain switched memristor-based neural networks with time-varying delays[J].Applied Mathematics and Computation,2018,325:271-29.
HU B,GUAN Z,YU X.Multisynchronization of interconnected memristor-based impulsive neural networks with fuzzy hybrid control[J].IEEE Transactions on Fuzzy Systems,2018,26:3069-3084.
GUO R,ZHANG Z,LIU X.Exponential input-to-state stability for complex-valued memristor-based BAM neural networks with multiple time-varying delays[J].Neurocomputing,2018,275:2041-2054.
YANG X,LI C,HUANG T.Synchronization of fractional-order memristor-based complex-valued neural networks with uncertain parameters and time delays[J].Chaos,Solitons&Fractals,2018,110:105-123.
CAO J,LI R.Fixed-time synchronization of delayed memristor-based recurrent neural networks[J].Science China(Information Sciences),2017,3:108-122.
WEI R,CAO J.Fixed-time synchronization of memristive cohen-grossberg neural networks with impulsive effects[J].International Journal of Control,Automation and Systems,2018,16:2214-2224.
XU Y,WU X,LI C.Fixed-time synchronization of complex networks with a simpler nonchattering controller[J].IEEE Transactions on Circuits and Systems II:Express Briefs,2019,early access,DOI:10.1109/TCSII.2019.2920035.
CHEN J,CHEN B,ZENG Z.Global asymptotic stability and adaptive ultimate mittag-leffler synchronization for a fractionalorder complex-valued memristive neural networks with delays[J].IEEE Transactions on Systems,Man,and Cybernetics:Systems,2019,49:2519-2535.
FILIPPOV A.Filippov differential equations with discontinuous righthand sides[M].Dordrecht:Kluwer academic,1988.
AUBIN J,FRANKOWSKA H.Set-Valued analysis[M].Boston:Birkhauser,1990.
XIONG K,YU J,HU C,et al.Synchronization in finite/fixed time of fully complex-valued dynamical networks via nonseparation approach[J].Journal of the Franklin Institute,2020,357:473-493.
FENG L,YU J,HU C,et al.Nonseparation method based finite/fixed-time synchronization of fully complex-valued discontinuous neural networks[J].IEEE Transactions on Cybernetics,2020,early access,DOI:10.1109/TCYB.2020.2980684.
FORTI M,GRAZZINI M.Generalized lyapunov approach for convergence of neural networks with discontinuous or nonlipschitz activations[J].Physica D,2016,214:88-99.
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