Finite-time synchronization of switched neural networks with state-dependent switching via intermittent control

Abstract In this paper, the finite-time synchronization problem for switched neural networks with state-dependent switching under intermittent control is discussed. Different from previous literature, this paper uses aperiodically intermittent control to make switched neural networks achieve finite-time synchronization. A new differential inequality is established to get our main results. Meanwhile, based on graph theory and differential inclusions theory, a proper Lyapunov function is proposed to derive a criterion to ensure finite-time synchronization of switched neural networks. And the convergence time, closely related to the topological structure of networks, is obtained and does not rely on control widths or rest widths for aperiodically intermittent control. Finally, a numerical example is presented to illustrate the effectiveness and feasibility of our results.

[1]  Wei Zhang,et al.  Stochastic exponential synchronization of memristive neural networks with time-varying delays via quantized control , 2018, Neural Networks.

[2]  Q. Gan.  Exponential synchronization of generalized neural networks with mixed time-varying delays and reaction-diffusion terms via aperiodically intermittent control. , 2017, Chaos.

[3]  Zhidong Teng,et al.  Exponential lag synchronization for neural networks with mixed delays via periodically intermittent control. , 2010, Chaos.

[4]  Richard A. Chapman,et al.  Neural Learning Circuits Utilizing Nano-Crystalline Silicon Transistors and Memristors , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[5]  Hamid Reza Karimi,et al.  Stability of Markovian Jump Generalized Neural Networks With Interval Time-Varying Delays , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[6]  Yao Xu,et al.  Stabilisation of stochastic delayed systems with Lévy noise on networks via periodically intermittent control , 2018, Int. J. Control.

[7]  Chi-Chuan Hwang,et al.  Exponential synchronization of a class of neural networks with time-varying delays , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[8]  Sitian Qin,et al.  Convergence and attractivity of memristor-based cellular neural networks with time delays , 2015, Neural Networks.

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

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

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

[12]  Tianping Chen,et al.  A note on finite-time and fixed-time stability , 2015, Neural Networks.

[13]  Yi Zhao,et al.  Pinning synchronization for reaction-diffusion neural networks with delays by mixed impulsive control , 2019, Neurocomputing.

[14]  Xiaohua Zhang,et al.  Finite-time lag synchronization of time-varying delayed complex networks via periodically intermittent control and sliding mode control , 2016, Neurocomputing.

[15]  Shengyuan Xu,et al.  Stability analysis of discrete-time neural networks with an interval-like time-varying delay , 2019, Neurocomputing.

[16]  Jian-an Fang,et al.  Finite‐time synchronization of memristive neural networks with time‐varying delays via two control methods , 2019, Mathematical Methods in the Applied Sciences.

[17]  Jigui Jian,et al.  Exponential synchronization of inertial neural networks with mixed time-varying delays via periodically intermittent control , 2019, Neurocomputing.

[18]  Ligang Wu,et al.  Receding Horizon Stabilization and Disturbance Attenuation for Neural Networks With Time-Varying Delay , 2015, IEEE Transactions on Cybernetics.

[19]  Jinde Cao,et al.  Pinning synchronization of delayed dynamical networks via periodically intermittent control. , 2009, Chaos.

[20]  Jinde Cao,et al.  Exponential lag synchronization of a class of chaotic delayed neural networks with impulsive effects , 2007 .

[21]  Wenxue Li,et al.  Intermittent Control Strategy for Synchronization Analysis of Time-Varying Complex Dynamical Networks , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[22]  Chuandong Li,et al.  Finite-Time Synchronization of Discontinuous Neural Networks With Delays and Mismatched Parameters , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[23]  Yan Liu,et al.  The Stability of Stochastic Coupled Systems With Time-Varying Coupling and General Topology Structure , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[24]  Jinde Cao,et al.  Synchronization of Coupled Markovian Reaction–Diffusion Neural Networks With Proportional Delays Via Quantized Control , 2019, IEEE Transactions on Neural Networks and Learning Systems.

[25]  R. Rakkiyappan,et al.  Stochastic stability of Markovian jump BAM neural networks with leakage delays and impulse control , 2014, Neurocomputing.

[26]  Fang Wang,et al.  Adaptive Finite Time Control of Nonlinear Systems Under Time-Varying Actuator Failures , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[27]  Jinde Cao,et al.  Asymptotic synchronization for stochastic memristor-based neural networks with noise disturbance , 2016, J. Frankl. Inst..

[28]  Xiaohua Ding,et al.  Synchronized stationary distribution of hybrid stochastic coupled systems with applications to coupled oscillators and a Chua's circuits network , 2018, J. Frankl. Inst..

[29]  Xiwei Liu,et al.  Synchronization of coupled reaction-diffusion neural networks with hybrid coupling via aperiodically intermittent pinning control , 2017, J. Frankl. Inst..

[30]  Gyu M. Lee,et al.  Finite-time extended dissipativity of delayed Takagi–Sugeno fuzzy neural networks using a free-matrix-based double integral inequality , 2019, Neural Computing and Applications.

[31]  Xiaoping Liu,et al.  Adaptive fuzzy asymptotical tracking control of nonlinear systems with unmodeled dynamics and quantized actuator , 2018, Inf. Sci..

[32]  M. Syed Ali,et al.  Finite-Time Non-fragile Dissipative Stabilization of Delayed Neural Networks , 2018, Neural Processing Letters.

[33]  Xingyuan Wang,et al.  Synchronization in complex networks with non-delay and delay couplings via intermittent control with two switched periods , 2014 .

[34]  Quanxin Zhu,et al.  Non-fragile finite-time H∞ state estimation of neural networks with distributed time-varying delay , 2017, J. Frankl. Inst..

[35]  Guodong Zhang,et al.  New Algebraic Criteria for Synchronization Stability of Chaotic Memristive Neural Networks With Time-Varying Delays , 2013, IEEE Transactions on Neural Networks and Learning Systems.

[36]  Hui Zhou,et al.  Synchronisation of stochastic‐coupled intermittent control systems with delays and Lévy noise on networks without strong connectedness , 2019, IET Control Theory & Applications.

[37]  Guodong Zhang,et al.  Exponential synchronization of delayed memristor-based chaotic neural networks via periodically intermittent control , 2014, Neural Networks.

[38]  Jinde Cao,et al.  Pth Moment Exponential Stochastic Synchronization of Coupled Memristor-based Neural Networks with Mixed Delays via Delayed Impulsive Control , 2015, Neural Networks.

[39]  Zhigang Zeng,et al.  Global exponential synchronization of memristor-based recurrent neural networks with time-varying delays , 2013, Neural Networks.

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

[41]  Jianlong Qiu,et al.  Leader-following synchronization of coupled time-delay neural networks via delayed impulsive control , 2019, Neurocomputing.

[42]  Fuad E. Alsaadi,et al.  Finite-Time Synchronization of Networks via Quantized Intermittent Pinning Control , 2018, IEEE Transactions on Cybernetics.

[43]  Guodong Zhang,et al.  Finite-Time Stabilization and Adaptive Control of Memristor-Based Delayed Neural Networks , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[44]  Fei Yang,et al.  Finite-time synchronisation of neural networks with discrete and distributed delays via periodically intermittent memory feedback control , 2016 .

[45]  T. Carroll,et al.  Master Stability Functions for Synchronized Coupled Systems , 1998 .

[46]  Zhidong Teng,et al.  Exponential stabilization and synchronization of neural networks with time-varying delays via periodically intermittent control , 2010 .

[47]  Aleksej F. Filippov,et al.  Differential Equations with Discontinuous Righthand Sides , 1988, Mathematics and Its Applications.

[48]  Huan Su,et al.  Stabilization of Stochastic Uncertain Complex-Valued Delayed Networks via Aperiodically Intermittent Nonlinear Control , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[49]  Michael Y. Li,et al.  Global-stability problem for coupled systems of differential equations on networks , 2010 .

[50]  Linlin Liu,et al.  Multistability of Switched Neural Networks With Piecewise Linear Activation Functions Under State-Dependent Switching , 2019, IEEE Transactions on Neural Networks and Learning Systems.

[51]  Guodong Zhang,et al.  Exponential Stabilization of Memristor-based Chaotic Neural Networks with Time-Varying Delays via Intermittent Control , 2015, IEEE Transactions on Neural Networks and Learning Systems.

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

[53]  Wenxue Li,et al.  Intermittent Discrete Observation Control for Synchronization of Stochastic Neural Networks , 2020, IEEE Transactions on Cybernetics.