Fixed-time synchronization of complex-valued memristive competitive neural networks based on two novel fixed-time stability theorems

被引：0
作者：
Chenguang Xu
Minghui Jiang
Junhao Hu
机构：
[1] China Three Gorges University,Three Gorges Mathematical Research Center
[2] China Three Gorges University,Institute of Nonlinear Complex Systems
[3] South Central University for Nationalities,College of Mathematics and Statistics
来源：
Neural Computing and Applications | 2023年 / 35卷
关键词：
Complex number field; Memristive competitive neural networks; Fixed-time synchronization; Non-separation approach;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The fixed-time synchronization (FTS) of complex-valued memristive competitive neural networks (CVMCNNs) with mixed delays is the main topic of this paper. Firstly, two new fixed-time (FT) stability criteria are obtained. In the FT stability criterion, the exponent is usually positive, but the exponent can be less than zero and varies with the error state in this paper. Then, based on two new stability theorems, the FTS of CVMCNNs is studied in the sense of 1-norm and 2-norm, respectively, without dividing the complex-valued state variables into the real part (RP) and the imaginary part (IP). Finally, two numerical simulation examples are given to further demonstrate the validity and superiority of our results.
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页码：22605 / 22620
页数：15
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[21]  
Bleanu D(2021)Synchronization for a class of complex-valued memristor-based competitive neural networks with different time scales Electron Res Archive 29 352-377
[22]  
Pratap A(2018)Multistability of delayed complex-valued competitive neural networks with discontinuous non-monotonic piecewise nonlinear activation functions Commun Nonlinear Sci Numer Simul 62 1434-1456
[23]  
Shi Y(2021)Pinning synchronization and adaptive synchronization of complex-valued inertial neural networks with time-varying delays in fixed-time interval J Franklin Inst 359 3212-3223
[24]  
Zhu P(2021)Synchronization in finite-/fixed-time of delayed diffusive complex-valued neural networks with discontinuous activations Chaos, Solitons & Fractals 142 86-95
[25]  
Zhao Y(2021)Nonseparation method-based finite/fixed-time synchronization of fully complex-valued discontinuous neural networks IEEE Trans Cybernet 51 152-163
[26]  
Ren S(2022)Finite-time stabilization of complex-valued neural networks with proportional delays and inertial terms: A non-separation approach Neural Netw 148 445-461
[27]  
Kurths J(2022)A new predefined-time stability theorem and its application in the synchronization of memristive complex-valued BAM neural networks Neural Netw 153 2022-2034
[28]  
Gong S(2022)Asymptotic and finite-time synchronization of fractional-order multiplex networks with time delays by adaptive and impulsive control Neurocomputing 493 173-189
[29]  
Guo Z(2020)Global synchronization of fuzzy memristive neural networks with discrete and distributed delays IEEE Trans Fuzzy Syst 28 1476-1485
[30]  
Wen S(2022)Global exponential synchronization of high-order quaternion Hopfield neural networks with unbounded distributed delays and time-varying discrete delays Math Comput Simul 193 4315-4328
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