Passivity and pinning control of coupled neural networks with and without time-varying delay

This paper is devoted to the study of two kinds of coupled neural networks with different dimensions for input and output vectors, that is, the case with and without time-varying delay. On one side, we analyse the passivity of these coupled neural networks by employing some inequality techniques and a Lyapunov functional approach. On the other side, by designing appropriate pinning control schemes, several conditions are derived, which can make sure that the considered networks are passivity. Finally, numerical examples are given to confirm the effectiveness of the obtained results.

[1]  Peng Shi,et al.  Passivity Analysis for Discrete-Time Stochastic Markovian Jump Neural Networks With Mixed Time Delays , 2011, IEEE Transactions on Neural Networks.

[2]  Fuad E. Alsaadi,et al.  Further results on passivity analysis of delayed neural networks with leakage delay , 2017, Neurocomputing.

[3]  Wei Zhang,et al.  Stability and synchronization of memristor-based coupling neural networks with time-varying delays via intermittent control , 2016, Neurocomputing.

[4]  Wei Xing Zheng,et al.  Distributed ℋ∞ Filtering for a Class of Discrete-Time Markov Jump Lur'e Systems With Redundant Channels , 2016, IEEE Trans. Ind. Electron..

[5]  Tingwen Huang,et al.  Passivity and Output Synchronization of Complex Dynamical Networks With Fixed and Adaptive Coupling Strength , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[6]  Tiedong Ma,et al.  Novel pinning control strategy for coupled neural networks with communication column graphs , 2016, Neurocomputing.

[7]  Tingwen Huang,et al.  Passivity and Synchronization of Linearly Coupled Reaction-Diffusion Neural Networks With Adaptive Coupling , 2015, IEEE Transactions on Cybernetics.

[8]  Lucas Antiqueira,et al.  Analyzing and modeling real-world phenomena with complex networks: a survey of applications , 2007, 0711.3199.

[9]  Hao Shen,et al.  Extended Dissipative State Estimation for Markov Jump Neural Networks With Unreliable Links , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[10]  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.

[11]  Wei Xing Zheng,et al.  State Estimation of Discrete-Time Switched Neural Networks With Multiple Communication Channels , 2017, IEEE Transactions on Cybernetics.

[12]  Huai-Ning Wu,et al.  Passivity analysis of complex dynamical networks with multiple time-varying delays , 2012 .

[13]  Jinde Cao,et al.  Passivity and robust synchronisation of switched interval coupled neural networks with time delay , 2016, Int. J. Syst. Sci..

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

[15]  David J. Hill,et al.  Passivity-based control and synchronization of general complex dynamical networks , 2009, Autom..

[16]  Jinde Cao,et al.  Finite-time non-fragile passivity control for neural networks with time-varying delay , 2017, Appl. Math. Comput..

[17]  Jinde Cao,et al.  Pinning synchronization of linearly coupled delayed neural networks , 2012, Math. Comput. Simul..

[18]  Charles M. Gray,et al.  Synchronous oscillations in neuronal systems: Mechanisms and functions , 1994, Journal of Computational Neuroscience.

[19]  Ju H. Park,et al.  Reliable mixed H∞/passive control for T-S fuzzy delayed systems based on a semi-Markov jump model approach , 2017, Fuzzy Sets Syst..

[20]  Jinde Cao,et al.  Finite-time synchronization of uncertain coupled switched neural networks under asynchronous switching , 2017, Neural Networks.

[21]  Jinde Cao,et al.  Periodicity and synchronization of coupled memristive neural networks with supremums , 2015, Neurocomputing.

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

[23]  Yong He,et al.  Improved Conditions for Passivity of Neural Networks With a Time-Varying Delay , 2014, IEEE Transactions on Cybernetics.

[24]  Huai-Ning Wu,et al.  Passivity analysis of impulsive complex networks , 2011, Int. J. Autom. Comput..

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

[26]  Manchun Tan.  Stabilization of Coupled Time-delay Neural Networks with Nodes of Different Dimensions , 2015, Neural Processing Letters.

[27]  Huijun Gao,et al.  New Passivity Analysis for Neural Networks With Discrete and Distributed Delays , 2010, IEEE Transactions on Neural Networks.

[28]  Jinde Cao,et al.  Cluster synchronization in an array of coupled stochastic delayed neural networks via pinning control , 2011, Neurocomputing.

[29]  Xunyuan Yin,et al.  Resilient Estimation for Networked Systems With Variable Communication Capability , 2016, IEEE Transactions on Automatic Control.

[30]  Quanxin Zhu,et al.  Delay-interval-dependent passivity analysis of stochastic neural networks with Markovian jumping parameters and time delay in the leakage term☆ , 2016 .

[31]  Mark E. J. Newman,et al.  The Structure and Function of Complex Networks , 2003, SIAM Rev..

[32]  Xin Wang,et al.  Impulsive exponential synchronization of randomly coupled neural networks with Markovian jumping and mixed model-dependent time delays , 2014, Neural Networks.

[33]  S. Strogatz.  Exploring complex networks , 2001, Nature.

[34]  Frank C. Hoppensteadt,et al.  Pattern recognition via synchronization in phase-locked loop neural networks , 2000, IEEE Trans. Neural Networks Learn. Syst..

[35]  LiuYurong,et al.  Further results on passivity analysis of delayed neural networks with leakage delay , 2017 .

[36]  Jinde Cao,et al.  Robust synchronization of coupled neural networks with mixed delays and uncertain parameters by intermittent pinning control , 2014, Neurocomputing.

[37]  Chun-Guang Li,et al.  Passivity Analysis of Neural Networks With Time Delay , 2005, IEEE Trans. Circuits Syst. II Express Briefs.

[38]  Zengyun Wang,et al.  Synchronization analysis of linearly coupleddelayed neural networks with discontinuous activations , 2015 .

[39]  Zhi-Hong Guan,et al.  Passive stability and synchronization of complex spatio-temporal switching networks with time delays , 2009, Autom..

[40]  Zhang Yifeng,et al.  A secure communication scheme based on cellular neural network , 1997, 1997 IEEE International Conference on Intelligent Processing Systems (Cat. No.97TH8335).