Finite-time anti-synchronization of memristive stochastic BAM neural networks with probabilistic time-varying delays

Abstract This paper investigates the drive-response finite-time anti-synchronization for memristive bidirectional associative memory neural networks (MBAMNNs). Firstly, a class of MBAMNNs with mixed probabilistic time-varying delays and stochastic perturbations is first formulated and analyzed in this paper. Secondly, an nonlinear control law is constructed and utilized to guarantee drive-response finite-time anti-synchronization of the neural networks. Thirdly, by employing some inequality technique and constructing an appropriate Lyapunov function, some anti-synchronization criteria are derived. Finally, a number simulation is provided to demonstrate the effectiveness of the proposed mechanism.

[1]  Rathinasamy Sakthivel,et al.  Non-fragile synchronization of memristive BAM networks with random feedback gain fluctuations , 2015, Commun. Nonlinear Sci. Numer. Simul..

[2]  D. Pal,et al.  Selective harvesting of two competing fish species in the presence of toxicity with time delay , 2017, Appl. Math. Comput..

[3]  Jinde Cao,et al.  Synchronization of coupled neural networks with random coupling strengths and mixed probabilistic time‐varying delays , 2013 .

[4]  Shouming Zhong,et al.  Finite-time Mittag-Leffler synchronization of fractional-order memristive BAM neural networks with time delays , 2017, Neurocomputing.

[5]  Linlin Liu,et al.  Passivity of memristive BAM neural networks with leakage and additive time-varying delays , 2018 .

[6]  Jinde Cao,et al.  New passivity criteria for memristor-based neutral-type stochastic BAM neural networks with mixed time-varying delays , 2016, Neurocomputing.

[7]  Fen Wang,et al.  Global exponential stability of high-order bidirectional associative memory (BAM) neural networks with time delays in leakage terms , 2016, Neurocomputing.

[8]  L. Chua Memristor-The missing circuit element , 1971 .

[9]  Xiong Luo,et al.  Exponential Antisynchronization Control of Stochastic Memristive Neural Networks with Mixed Time-Varying Delays Based on Novel Delay-Dependent or Delay-Independent Adaptive Controller , 2017 .

[10]  Zhigang Zeng,et al.  Anti-synchronization control of a class of memristive recurrent neural networks , 2013, Commun. Nonlinear Sci. Numer. Simul..

[11]  Alex Pappachen James,et al.  A Survey of Memristive Threshold Logic Circuits , 2016, IEEE Transactions on Neural Networks and Learning Systems.

[12]  Jinde Cao,et al.  Robust fixed-time synchronization for uncertain complex-valued neural networks with discontinuous activation functions , 2017, Neural Networks.

[13]  Lixiang Li,et al.  Finite-time synchronization of complex dynamical networks with multi-links via intermittent controls , 2016 .

[14]  Zhengrong Xiang,et al.  Stability analysis of stochastic memristor-based recurrent neural networks with mixed time-varying delays , 2017, Neural Computing and Applications.

[15]  Rathinasamy Sakthivel,et al.  Design of state estimator for bidirectional associative memory neural networks with leakage delays , 2015, Inf. Sci..

[16]  Haipeng Peng,et al.  Anti-synchronization for stochastic memristor-based neural networks with non-modeled dynamics via adaptive control approach , 2015 .

[17]  Zhigang Zeng,et al.  New Criteria of Passivity Analysis for Fuzzy Time-Delay Systems With Parameter Uncertainties , 2015, IEEE Transactions on Fuzzy Systems.

[18]  Zhen Jin,et al.  Effects of time delay and space on herbivore dynamics: linking inducible defenses of plants to herbivore outbreak , 2015, Scientific Reports.

[19]  Xiong Luo,et al.  Pinning Synchronization of Coupled Memristive Recurrent Neural Networks with Mixed Time-Varying Delays and Perturbations , 2018, Neural Processing Letters.

[20]  Jinde Cao,et al.  Exponential synchronization of memristive Cohen–Grossberg neural networks with mixed delays , 2014, Cognitive Neurodynamics.

[21]  Haipeng Peng,et al.  Impulsive control for synchronization and parameters identification of uncertain multi-links complex network , 2016 .

[22]  Naixue Xiong,et al.  Intelligent Impulsive Synchronization of Nonlinear Interconnected Neural Networks for Image Protection , 2018, IEEE Transactions on Industrial Informatics.

[23]  Xiong Luo,et al.  A quantized kernel least mean square scheme with entropy-guided learning for intelligent data analysis , 2016, China Communications.

[24]  Zhenjiang Zhao,et al.  Stability criterion of complex-valued neural networks with both leakage delay and time-varying delays on time scales , 2016, Neurocomputing.

[25]  Ranjit Kumar Upadhyay,et al.  Dynamics and responses of a predator–prey system with competitive interference and time delay , 2016 .

[26]  Jinde Cao,et al.  Matrix measure strategies for stability and synchronization of inertial BAM neural network with time delays , 2014, Neural Networks.

[27]  Yanchao Shi,et al.  Finite-time synchronization of stochastic memristor-based delayed neural networks , 2016, Neural Computing and Applications.

[28]  Gregory S. Snider,et al.  ‘Memristive’ switches enable ‘stateful’ logic operations via material implication , 2010, Nature.

[29]  Haipeng Peng,et al.  Fixed-Time Synchronization of Memristive Fuzzy BAM Cellular Neural Networks With Time-Varying Delays Based on Feedback Controllers , 2018, IEEE Access.

[30]  Linlin Liu,et al.  Anti-synchronization control of BAM memristive neural networks with multiple proportional delays and stochastic perturbations , 2018 .

[31]  Jinde Cao,et al.  Stability analysis of reaction-diffusion uncertain memristive neural networks with time-varying delays and leakage term , 2016, Appl. Math. Comput..

[32]  Leon O. Chua,et al.  Circuit Elements With Memory: Memristors, Memcapacitors, and Meminductors , 2009, Proceedings of the IEEE.

[33]  Song Zhu,et al.  Global Anti-Synchronization of Complex-Valued Memristive Neural Networks With Time Delays , 2019, IEEE Transactions on Cybernetics.

[34]  Jinde Cao,et al.  Exponential Synchronization of Coupled Stochastic Memristor-Based Neural Networks With Time-Varying Probabilistic Delay Coupling and Impulsive Delay , 2016, IEEE Transactions on Neural Networks and Learning Systems.

[35]  Haibo Gu Adaptive synchronization for competitive neural networks with different time scales and stochastic perturbation , 2009, Neurocomputing.

[36]  Rathinasamy Sakthivel,et al.  Robust passivity analysis of fuzzy Cohen-Grossberg BAM neural networks with time-varying delays , 2011, Appl. Math. Comput..

[37]  Derong Liu,et al.  New robust stability results for bidirectional associative memory neural networks with multiple time delays , 2012, Appl. Math. Comput..

[38]  Jinde Cao,et al.  New synchronization criteria for memristor-based networks: Adaptive control and feedback control schemes , 2015, Neural Networks.

[39]  Guodong Zhang,et al.  Global anti-synchronization of a class of chaotic memristive neural networks with time-varying delays , 2013, Neural Networks.

[40]  Dawei Zhao,et al.  Statistical physics of vaccination , 2016, ArXiv.

[41]  Yi Yu,et al.  System crash as dynamics of complex networks , 2016, Proceedings of the National Academy of Sciences.

[42]  Zhigang Zeng,et al.  Synchronization control of a class of memristor-based recurrent neural networks , 2012, Inf. Sci..

[43]  Massimiliano Di Ventra,et al.  Experimental demonstration of associative memory with memristive neural networks , 2009, Neural Networks.

[44]  Jinde Cao,et al.  Passivity analysis of memristive neural networks with probabilistic time-varying delays , 2016, Neurocomputing.

[45]  Zhigang Zeng,et al.  Lag Synchronization of Switched Neural Networks via Neural Activation Function and Applications in Image Encryption , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[46]  Wei Zhang,et al.  Adaptive synchronization of memristive neural networks with time-varying delays and reaction-diffusion term , 2017, Appl. Math. Comput..

[47]  Linlin Liu,et al.  Synchronization of memristive BAM neural networks with leakage delay and additive time-varying delay components via sampled-data control , 2017 .

[48]  Shouming Zhong,et al.  Exponential passivity of BAM neural networks with time-varying delays , 2013, Appl. Math. Comput..

[49]  Xiong Luo,et al.  A Quantized Kernel Learning Algorithm Using a Minimum Kernel Risk-Sensitive Loss Criterion and Bilateral Gradient Technique , 2017, Entropy.

[50]  Zhigang Zeng,et al.  Event-Triggering Load Frequency Control for Multiarea Power Systems With Communication Delays , 2016, IEEE Transactions on Industrial Electronics.

[51]  Zhen Jin,et al.  Periodic solutions in a herbivore-plant system with time delay and spatial diffusion , 2016 .

[52]  Fen Wang,et al.  pth moment exponential stability of stochastic memristor-based bidirectional associative memory (BAM) neural networks with time delays , 2018, Neural Networks.

[53]  Ju H. Park,et al.  Synchronization for delayed memristive BAM neural networks using impulsive control with random nonlinearities , 2015, Appl. Math. Comput..

[54]  Shiping Wen,et al.  Synchronization control of stochastic memristor-based neural networks with mixed delays , 2015, Neurocomputing.

[55]  Lihong Huang,et al.  Functional differential inclusions and dynamic behaviors for memristor-based BAM neural networks with time-varying delays , 2014, Commun. Nonlinear Sci. Numer. Simul..

[56]  Zhigang Zeng,et al.  Exponential synchronization of memristor-based recurrent neural networks with time delays , 2011, Neurocomputing.

[57]  Fuad E. Alsaadi,et al.  A new switching control for finite-time synchronization of memristor-based recurrent neural networks , 2017, Neural Networks.

[58]  Yi Shen,et al.  Exponential synchronization of coupled memristive neural networks with time delays , 2013, Neural Computing and Applications.