Adaptive synchronization of memristor-based BAM neural networks with mixed delays

This paper investigates the adaptive synchronization of memristor-based BAM neural networks (MBAMNNs) with discrete delay and distributed delay (mixed delays). We design two kinds of adaptive feedback controllers, under which the considered MBAMNNs can achieve asymptotic synchronization and exponential synchronization respectively. The adaptive feedback controllers can be utilized even when there is no perfect knowledge of the system parameters. Furthermore, computing algebraic conditions and solving linear matrix inequalities are not needed to determine suitable control gains. Numerical simulations illustrate the effectiveness of the theoretical results.

[1]  Wei Yang Lu,et al.  Nanoscale memristor device as synapse in neuromorphic systems. , 2010, Nano letters.

[2]  Shouming Zhong,et al.  Event-triggered sampling control for stability and stabilization of memristive neural networks with communication delays , 2017, Appl. Math. Comput..

[3]  Mona E. Zaghloul,et al.  SYNCHRONIZATION OF CHAOTIC NEURAL NETWORKS AND APPLICATIONS TO COMMUNICATIONS , 1996 .

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

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

[6]  Jinde Cao,et al.  Exponential Synchronization of Memristive Neural Networks With Delays: Interval Matrix Method , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[7]  Jun Wang,et al.  Sampled-data synchronization control for Markovian delayed complex dynamical networks via a novel convex optimization method , 2017, Neurocomputing.

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

[9]  Shouming Zhong,et al.  Novel master-slave synchronization criteria of chaotic Lur'e systems with time delays using sampled-data control , 2017, J. Frankl. Inst..

[10]  Z. Tan,et al.  ASSOCIATIVE MEMORY USING SYNCHRONIZATION IN A CHAOTIC NEURAL NETWORK , 2001 .

[11]  Shouming Zhong,et al.  Memory feedback PID control for exponential synchronisation of chaotic Lur'e systems , 2017, Int. J. Syst. Sci..

[12]  Qiankun Song,et al.  Synchronization analysis of coupled connected neural networks with mixed time delays , 2009, Neurocomputing.

[13]  D. Stewart,et al.  The missing memristor found , 2008, Nature.

[14]  Chuan Chen,et al.  Synchronization Control of Coupled Memristor-Based Neural Networks with Mixed Delays and Stochastic Perturbations , 2017, Neural Processing Letters.

[15]  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.

[16]  Chuan Chen,et al.  Finite-time synchronization of memristor-based neural networks with mixed delays , 2017, Neurocomputing.

[17]  Jinde Cao,et al.  Adaptive synchronization of fractional-order memristor-based neural networks with time delay , 2015, Nonlinear Dynamics.

[18]  Jian Xu,et al.  Synchronization and synchronized periodic solution in a simplified five-neuron BAM neural network with delays , 2011, Neurocomputing.

[19]  Jinde Cao,et al.  Fixed-time synchronization of delayed memristor-based recurrent neural networks , 2017, Science China Information Sciences.

[20]  Zhidong Teng,et al.  Exponential lag synchronization for memristor-based neural networks with mixed time delays via hybrid switching control , 2016, J. Frankl. Inst..

[21]  Jinde Cao,et al.  Special focus on distributed cooperative analysis, control and optimization in networks , 2017, Science China Information Sciences.

[22]  Bin Jiang,et al.  LMI-Based Approach for Global Asymptotic Stability Analysis of Recurrent Neural Networks with Various Delays and Structures , 2011, IEEE Transactions on Neural Networks.

[23]  Quanxin Zhu,et al.  Synchronization of switched neural networks with mixed delays via impulsive control , 2011 .

[24]  Yong-Ki Ma,et al.  Reliable anti-synchronization conditions for BAM memristive neural networks with different memductance functions , 2016, Appl. Math. Comput..

[25]  Jinde Cao,et al.  Finite-time synchronization of fractional-order memristor-based neural networks with time delays , 2016, Neural Networks.

[26]  Yong Li,et al.  Matrix measure strategies for stabilization and synchronization of delayed BAM neural networks , 2016 .

[27]  Ronald Tetzlaff,et al.  Synchronization conditions in simple memristor neural networks , 2015, J. Frankl. Inst..

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

[29]  Hao Shen,et al.  Finite-Time Cluster Synchronization of Lur’e Networks: A Nonsmooth Approach , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[30]  Guodong Zhang,et al.  New results on synchronization control of delayed memristive neural networks , 2015 .

[31]  Mohammad Javad Sharifi,et al.  General SPICE Models for Memristor and Application to Circuit Simulation of Memristor-Based Synapses and Memory Cells , 2010, J. Circuits Syst. Comput..

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

[33]  Xiaoming Han,et al.  Adaptive exponential synchronization of memristive neural networks with mixed time-varying delays , 2016, Neurocomputing.

[34]  Chuan Chen,et al.  Fixed-time synchronization of memristor-based BAM neural networks with time-varying discrete delay , 2017, Neural Networks.

[35]  BART KOSKO,et al.  Bidirectional associative memories , 1988, IEEE Trans. Syst. Man Cybern..

[36]  Shouming Zhong,et al.  Sampled-data synchronization of chaotic Lur'e systems via input-delay-dependent-free-matrix zero equality approach , 2017, Appl. Math. Comput..

[37]  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.

[38]  Ju H. Park,et al.  Nonfragile Exponential Synchronization of Delayed Complex Dynamical Networks With Memory Sampled-Data Control , 2018, IEEE Transactions on Neural Networks and Learning Systems.

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

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