Global exponential synchronization of interval neural networks with mixed delays via delayed impulsive control

Abstract This paper investigates the synchronization problem of interval neural networks with both time-varying and unbounded distributed delays under delayed impulsive control. A new impulsive differential inequality which considers the effect of time delays in impulses is proposed. Based on the inequality, several synchronization criteria for interval neural networks are derived by employing impulsive control theory and inequality techniques. Finally, a numerical example with simulation results is provided to show the validity of the conclusions.

[1]  Fuad E. Alsaadi,et al.  Lagrange stability analysis for complex-valued neural networks with leakage delay and mixed time-varying delays , 2017, Neurocomputing.

[2]  Jinde Cao,et al.  Synchronization of memristive neural networks with mixed delays via quantized intermittent control , 2018, Appl. Math. Comput..

[3]  Yan Liu,et al.  Synchronization of stochastic coupled systems with time-varying coupling structure on networks via discrete-time state feedback control , 2018, Neurocomputing.

[4]  Xiaoxiao Lu,et al.  Fixed-time control of delayed neural networks with impulsive perturbations , 2018, Nonlinear Analysis: Modelling and Control.

[5]  Jinde Cao,et al.  Quasi-synchronization of neural networks with parameter mismatches and delayed impulsive controller on time scales , 2019 .

[6]  Yang Tang,et al.  Input-to-state stability for nonlinear systems with stochastic impulses , 2020, Autom..

[7]  Jinde Cao,et al.  Synchronization of Switched Interval Networks and Applications to Chaotic Neural Networks , 2013 .

[8]  Chao Yang,et al.  Fixed-time synchronization of coupled memristor-based neural networks with time-varying delays , 2019, Neural Networks.

[9]  Pagavathigounder Balasubramaniam,et al.  Global robust passivity analysis for stochastic fuzzy interval neural networks with time-varying delays , 2012, Expert Syst. Appl..

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

[11]  Fuad E. Alsaadi,et al.  Synchronization of directed switched complex networks with stochastic link perturbations and mixed time-delays , 2018 .

[12]  Kexue Zhang,et al.  Consensus of multi-agent systems via hybrid impulsive protocols with time-delay , 2018, Nonlinear Analysis: Hybrid Systems.

[13]  Yang Tang,et al.  Event-Based Formation Control for Nonlinear Multiagent Systems Under DoS Attacks , 2021, IEEE Transactions on Automatic Control.

[14]  Jianlong Qiu,et al.  Exponential synchronization of time-varying delayed complex-valued neural networks under hybrid impulsive controllers , 2019, Neural Networks.

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

[16]  Kexue Zhang,et al.  Synchronization of linear dynamical networks on time scales: Pinning control via delayed impulses , 2016, Autom..

[17]  Kaizhong Guan,et al.  Global power-rate synchronization of chaotic neural networks with proportional delay via impulsive control , 2018, Neurocomputing.

[18]  Yurong Liu,et al.  Sampled-data control for a class of linear time-varying systems , 2019, Autom..

[19]  Jun Wang,et al.  A systematic method for analyzing robust stability of interval neural networks with time-delays based on stability criteria , 2014, Neural Networks.

[20]  Yuanqing Wu,et al.  Partial-information-based consensus of network systems with time-varying delay via sampled-data control , 2019, Signal Process..

[21]  Dan Wei,et al.  Global exponential synchronization of nonlinear time-delay Lur'e systems via delayed impulsive control , 2014, Commun. Nonlinear Sci. Numer. Simul..

[22]  Sabri Arik,et al.  An analysis of global asymptotic stability of delayed cellular neural networks , 2002, IEEE Trans. Neural Networks.

[23]  Jinde Cao,et al.  Boundedness and stability for Cohen–Grossberg neural network with time-varying delays☆ , 2004 .

[24]  Zhigang Zeng,et al.  Exponential stability for a class of memristive neural networks with mixed time-varying delays , 2018, Appl. Math. Comput..

[25]  R. Rakkiyappan,et al.  Impulsive controller design for exponential synchronization of delayed stochastic memristor-based recurrent neural networks , 2016, Neurocomputing.

[26]  Zidong Wang,et al.  Stability and Synchronization of Discrete-Time Markovian Jumping Neural Networks With Mixed Mode-Dependent Time Delays , 2009, IEEE Transactions on Neural Networks.

[27]  Wu-Hua Chen,et al.  Globally exponential stabilization of neural networks with mixed time delays via impulsive control , 2015, Appl. Math. Comput..

[28]  Shouming Zhong,et al.  Synchronization of nonlinear complex dynamical systems via delayed impulsive distributed control , 2018, Appl. Math. Comput..

[29]  Xiaodi Li,et al.  Global robust stability for stochastic interval neural networks with continuously distributed delays of neutral type , 2010, Appl. Math. Comput..

[30]  Jianhua Shen,et al.  State‐dependent switching control of delayed switched systems with stable and unstable modes , 2018, Mathematical Methods in the Applied Sciences.

[31]  R. Rakkiyappan,et al.  m-stability criteria for nonlinear differential systems with additive leakage and transmission time-varying delays , 2018 .

[32]  Zidong Wang,et al.  Synchronization of Coupled Neutral-Type Neural Networks With Jumping-Mode-Dependent Discrete and Unbounded Distributed Delays , 2013, IEEE Transactions on Cybernetics.

[33]  Zhengqiu Zhang,et al.  Finite-time synchronization for delayed complex-valued neural networks via integrating inequality method , 2018, Neurocomputing.

[34]  Guoqiang Hu,et al.  Pinning Synchronization of Directed Networks With Switching Topologies: A Multiple Lyapunov Functions Approach , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[35]  R. Rakkiyappan,et al.  Impulsive controller design for exponential synchronization of chaotic neural networks with mixed delays , 2013, Commun. Nonlinear Sci. Numer. Simul..

[36]  Jinde Cao,et al.  Exponential Synchronization of Neural Networks via Feedback Control in Complex Environment , 2018, Complex..

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

[38]  Xinsong Yang,et al.  Synchronization of TS fuzzy complex dynamical networks with time-varying impulsive delays and stochastic effects , 2014, Fuzzy Sets Syst..

[39]  Donal O'Regan,et al.  Global exponential stabilization of impulsive neural networks with unbounded continuously distributed delays , 2015 .

[40]  Xinsong Yang,et al.  Exponential synchronization of complex-valued complex networks with time-varying delays and stochastic perturbations via time-delayed impulsive control , 2017, Appl. Math. Comput..

[41]  Jinde Cao,et al.  Synchronization of discrete-time neural networks with delays and Markov jump topologies based on tracker information , 2017, Neural Networks.

[42]  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.

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