Stochastic Quasi-Synchronization of Delayed Neural Networks: Pinning Impulsive Scheme

This paper studies stochastic quasi-synchronization of delayed neural networks with parameter mismatches and stochastic perturbation mismatch via pinning impulsive control. By pinning selected nodes of stochastic neural network at impulse time, an impulsive control scheme is proposed. Some sufficient conditions are obtained to ensure that the error system can converge to small region in the mean square. Meanwhile, numerical example is provided to illustrate the effectiveness of theoretical results.

[1]  Y. Rui,et al.  Learning to Rank Using User Clicks and Visual Features for Image Retrieval , 2015, IEEE Transactions on Cybernetics.

[2]  Jinde Cao,et al.  Exponential synchronization of chaotic neural networks: a matrix measure approach , 2009 .

[3]  Tamás Roska,et al.  Image compression by cellular neural networks , 1998 .

[4]  Jessica Fuerst,et al.  Stochastic Differential Equations And Applications , 2016 .

[5]  Jinde Cao,et al.  Robust Stability of Markovian Jump Stochastic Neural Networks with Time Delays in the Leakage Terms , 2013, Neural Processing Letters.

[6]  W. Singer,et al.  Neural Synchrony in Brain Disorders: Relevance for Cognitive Dysfunctions and Pathophysiology , 2006, Neuron.

[7]  Shouming Zhong,et al.  Pinning impulsive synchronization of complex dynamical networks with various time-varying delay sizes , 2017 .

[8]  Baocheng Li.  Pinning adaptive hybrid synchronization of two general complex dynamical networks with mixed coupling , 2016 .

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

[10]  Yuanyuan Li,et al.  Impulsive Synchronization of Stochastic Neural Networks via Controlling Partial States , 2017, Neural Processing Letters.

[11]  Jinde Cao,et al.  Stability Analysis in a Class of Markov Switched Stochastic Hopfield Neural Networks , 2018, Neural Processing Letters.

[12]  K A Shore,et al.  Parameter mismatches and perfect anticipating synchronization in bidirectionally coupled external cavity laser diodes. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  Jun Yu,et al.  Multimodal Face-Pose Estimation With Multitask Manifold Deep Learning , 2019, IEEE Transactions on Industrial Informatics.

[14]  David J. Hill,et al.  Impulsive Consensus for Complex Dynamical Networks with Nonidentical Nodes and Coupling Time-Delays , 2011, SIAM J. Control. Optim..

[15]  G. Wang,et al.  Lag synchronization via pinning control between two coupled networks , 2015 .

[16]  Gang Feng,et al.  Synchronization of Complex Dynamical Networks With Time-Varying Delays Via Impulsive Distributed Control , 2010, IEEE Transactions on Circuits and Systems I: Regular Papers.

[17]  Tianping Chen,et al.  Synchronization of coupled connected neural networks with delays , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[18]  Kok Lay Teo,et al.  A new Lyapunov functional approach to sampled-data synchronization control for delayed neural networks , 2018, J. Frankl. Inst..

[19]  Zidong Wang,et al.  Bounded $H_{\infty}$ Synchronization and State Estimation for Discrete Time-Varying Stochastic Complex Networks Over a Finite Horizon , 2011, IEEE Transactions on Neural Networks.

[20]  E. Yaz.  Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[21]  Jinde Cao,et al.  Stochastic quasi-synchronization for delayed dynamical networks via intermittent control , 2012 .

[22]  Guanrong Chen,et al.  Complex networks: small-world, scale-free and beyond , 2003 .

[23]  Ling Chen,et al.  Exponential stability for impulsive stochastic functional differential equations , 2011, 2011 International Conference on Multimedia Technology.

[24]  Chuandong Li,et al.  Exponential stabilization and synchronization for fuzzy model of memristive neural networks by periodically intermittent control , 2016, Neural Networks.

[25]  Zidong Wang,et al.  Robust stability for stochastic Hopfield neural networks with time delays , 2006 .

[26]  Jinde Cao,et al.  Pinning-controlled synchronization of delayed neural networks with distributed-delay coupling via impulsive control , 2017, Neural Networks.

[27]  Qingming Huang,et al.  Spatial Pyramid-Enhanced NetVLAD With Weighted Triplet Loss for Place Recognition , 2020, IEEE Transactions on Neural Networks and Learning Systems.

[28]  Lin-Bao Yang,et al.  Cellular neural networks: theory , 1988 .

[29]  Xinghuo Yu,et al.  Saturated Finite Interval Iterative Learning for Tracking of Dynamic Systems With HNN-Structural Output , 2016, IEEE Transactions on Neural Networks and Learning Systems.

[30]  Jinde Cao,et al.  Novel inequality with application to improve the stability criterion for dynamical systems with two additive time-varying delays , 2018, Appl. Math. Comput..

[31]  Jinde Cao,et al.  A unified synchronization criterion for impulsive dynamical networks , 2010, Autom..

[32]  Sang-Yoon Kim,et al.  Characterization of the parameter-mismatching effect on the loss of chaos synchronization. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[33]  Tamás Roska,et al.  Image compression by cellular neural networks , 1998 .

[34]  Dr. Gabriele Manganaro,et al.  Cellular Neural Networks , 1999, Springer Series in Advanced Microelectronics.

[35]  Jinde Cao,et al.  Pinning cluster synchronization in an array of coupled neural networks under event-based mechanism , 2016, Neural Networks.

[36]  Tao Yang,et al.  In: Impulsive control theory , 2001 .

[37]  Fei Gao,et al.  Deep Multimodal Distance Metric Learning Using Click Constraints for Image Ranking , 2017, IEEE Transactions on Cybernetics.

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