Exponential synchronization of memristive neural networks with time-varying delays via quantized sliding-mode control

In the paper, exponential synchronization issue is considered for memristive neural networks (MNNs) with time-varying delays via quantized sliding-mode algorithm. Quantized Sliding-mode controller is introduced to ensure the slave system can be exponentially synchronized with the host system via the super-twisting algorithm, which has been proved in the main results. Quantization function consists of uniform quantizer and logarithmic quantizer. Simulation results are given with comparisons between two quantizers in the end.

[1]  Chuntian Cheng,et al.  Forecasting Daily Runoff by Extreme Learning Machine Based on Quantum-Behaved Particle Swarm Optimization , 2018 .

[2]  Jinde Cao,et al.  Global Synchronization in an Array of Delayed Neural Networks With Hybrid Coupling , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[3]  Jinde Cao,et al.  Switching event-triggered control for global stabilization of delayed memristive neural networks: An exponential attenuation scheme , 2019, Neural Networks.

[4]  Shiping Wen,et al.  Event-triggered distributed control for synchronization of multiple memristive neural networks under cyber-physical attacks , 2020, Inf. Sci..

[5]  Zhong-kai Feng,et al.  Mixed Integer Linear Programming Model for Peak Operation of Gas-Fired Generating Units with Disjoint-Prohibited Operating Zones , 2019 .

[6]  Zhigang Zeng,et al.  Exponential passivity of memristive neural networks with time delays , 2014, Neural Networks.

[7]  Jun Wang,et al.  Global Exponential Synchronization of Two Memristor-Based Recurrent Neural Networks With Time Delays via Static or Dynamic Coupling , 2015, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[8]  Shiping Wen,et al.  Synchronization of memristive neural networks with leakage delay and parameters mismatch via event-triggered control , 2019, Neural Networks.

[9]  Xinghuo Yu,et al.  Euler's discretization effect on a twisting algorithm based sliding mode control , 2016, Autom..

[10]  Shiping Wen,et al.  Sliding mode control of neural networks via continuous or periodic sampling event-triggering algorithm , 2020, Neural Networks.

[11]  Jigen Peng,et al.  Exponential lag synchronization of fuzzy cellular neural networks with time-varying delays , 2012, J. Frankl. Inst..

[12]  Oh-Min Kwon,et al.  Composite synchronization control for delayed coupling complex dynamical networks via a disturbance observer-based method , 2020 .

[13]  Shih-Chii Liu,et al.  Temporal coding in a silicon network of integrate-and-fire neurons , 2004, IEEE Transactions on Neural Networks.

[14]  Zhigang Zeng,et al.  Passivity analysis of delayed reaction-diffusion memristor-based neural networks , 2019, Neural Networks.

[15]  Lixiang Li,et al.  Synchronization control of memristor-based recurrent neural networks with perturbations , 2014, Neural Networks.

[16]  Chuntian Cheng,et al.  Optimization of hydropower reservoirs operation balancing generation benefit and ecological requirement with parallel multi-objective genetic algorithm , 2018, Energy.

[17]  Chuntian Cheng,et al.  Optimizing electrical power production of hydropower system by uniform progressive optimality algorithm based on two-stage search mechanism and uniform design , 2018, Journal of Cleaner Production.

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

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

[20]  Zhigang Zeng,et al.  Fuzzy Control for Uncertain Vehicle Active Suspension Systems via Dynamic Sliding-Mode Approach , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[21]  Zhigang Zeng,et al.  CLU-CNNs: Object detection for medical images , 2019, Neurocomputing.

[22]  Daniel W. C. Ho,et al.  Synchronization of Delayed Memristive Neural Networks: Robust Analysis Approach , 2016, IEEE Transactions on Cybernetics.

[23]  Shiping Wen,et al.  Passivity and passification of memristive neural networks with leakage term and time-varying delays , 2019, Appl. Math. Comput..

[24]  Ting Wang,et al.  Exponential synchronization for delayed chaotic neural networks with nonlinear hybrid coupling , 2012, Neurocomputing.

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

[26]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[27]  Xinghuo Yu,et al.  Quantized super-twisting algorithm based sliding mode control , 2019, Autom..

[28]  Chuntian Cheng,et al.  Forecasting reservoir monthly runoff via ensemble empirical mode decomposition and extreme learning machine optimized by an improved gravitational search algorithm , 2019, Appl. Soft Comput..

[29]  V. Utkin.  Variable structure systems with sliding modes , 1977 .

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

[31]  Zhihong Man,et al.  Continuous finite-time control for robotic manipulators with terminal sliding mode , 2003, Autom..

[32]  Weiwei Liu,et al.  Generating Realistic Videos From Keyframes With Concatenated GANs , 2019, IEEE Transactions on Circuits and Systems for Video Technology.

[33]  Zhigang Zeng,et al.  General memristor with applications in multilayer neural networks , 2018, Neural Networks.

[34]  Sen Wang,et al.  Operation rule derivation of hydropower reservoir by k-means clustering method and extreme learning machine based on particle swarm optimization , 2019, Journal of Hydrology.

[35]  Giacomo Indiveri,et al.  A neuromorphic VLSI device for implementing 2D selective attention systems , 2001, IEEE Trans. Neural Networks.

[36]  Shiping Wen,et al.  Passivity and passification of memristive recurrent neural networks with multi-proportional delays and impulse , 2020, Appl. Math. Comput..

[37]  Zhigang Zeng,et al.  A modified Elman neural network with a new learning rate scheme , 2018, Neurocomputing.

[38]  Xinghuo Yu,et al.  Sliding Mode Control Made Smarter: A Computational Intelligence Perspective , 2017, IEEE Systems, Man, and Cybernetics Magazine.

[39]  Zhigang Zeng,et al.  Aperiodic Sampled-Data Sliding-Mode Control of Fuzzy Systems With Communication Delays Via the Event-Triggered Method , 2016, IEEE Transactions on Fuzzy Systems.

[40]  Wei Xu,et al.  Adaptive anti-synchronization of memristor-based complex-valued neural networks with time delays , 2019 .

[41]  Yiran Chen,et al.  Memristor-Based Design of Sparse Compact Convolutional Neural Network , 2020, IEEE Transactions on Network Science and Engineering.

[42]  Shiping Wen,et al.  Synchronization of discrete-time recurrent neural networks with time-varying delays via quantized sliding mode control , 2020, Appl. Math. Comput..

[43]  Pagavathigounder Balasubramaniam,et al.  Linear matrix inequality approach for synchronization control of fuzzy cellular neural networks with mixed time delays , 2012 .

[44]  Shiping Wen,et al.  Quantized synchronization of memristive neural networks with time-varying delays via super-twisting algorithm , 2020, Neurocomputing.

[45]  Shiping Wen,et al.  Multilabel Image Classification via Feature/Label Co-Projection , 2021, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[46]  Zhigang Zeng,et al.  Sparse fully convolutional network for face labeling , 2019, Neurocomputing.

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

[48]  Leon O. Chua,et al.  Neural Synaptic Weighting With a Pulse-Based Memristor Circuit , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[49]  Bertram E. Shi,et al.  An ON-OFF orientation selective address event representation image transceiver chip , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[50]  Huamin Wang,et al.  Exponential Stability of Complex-Valued Memristive Recurrent Neural Networks , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[51]  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..

[52]  Shiping Wen,et al.  Event-Based Synchronization Control for Memristive Neural Networks With Time-Varying Delay , 2019, IEEE Transactions on Cybernetics.

[53]  Zhengwen Tu,et al.  Stability and stabilization of quaternion-valued neural networks with uncertain time-delayed impulses: Direct quaternion method , 2019 .