Inner synchronisation of stochastic impulsive multi-links coupled systems via discrete-time state observations control

In this paper, the inner synchronisation of stochastic impulsive coupled systems with multi-links (SISM) is investigated. The feedback control based on discrete-time state observations, impulsive effects and multiple links are added to stochastic coupled systems simultaneously for the first time. Instead of the mean-square exponential synchronisation, the pth ( ) moment exponential synchronisation is studied. A main theorem is proposed by average impulsive interval approach, graph theory and Lyapunov method to ensure the pth moment exponential synchronisation of SISM. Additionally, we apply the theoretical results to stochastic impulsive Rössler-like circuits with multi-links, which is the first attempt. Finally, a numerical example is provided to illustrate the effectiveness of the developed results.

[1]  Carroll,et al.  Synchronous chaos in coupled oscillator systems. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2]  Kathryn Fraughnaugh,et al.  Introduction to graph theory , 1973, Mathematical Gazette.

[3]  N. C. State,et al.  Stability Analysis , 2019, Converter-Interfaced Energy Storage Systems.

[4]  Yaoru Sun,et al.  SELF‐ORGANIZING PEER‐TO‐PEER SOCIAL NETWORKS , 2008, Comput. Intell..

[5]  Jurgen Kurths,et al.  Synchronization in complex networks , 2008, 0805.2976.

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

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

[8]  Xiaodi Li,et al.  Synchronization of chaotic delayed neural networks with impulsive and stochastic perturbations , 2011 .

[9]  Tao Li,et al.  Global synchronization in arrays of coupled Lurie systems with both time-delay and hybrid coupling , 2011 .

[10]  P. Vainikainen,et al.  Multi-Link MIMO Channel Modeling Using Geometry-Based Approach , 2012, IEEE Transactions on Antennas and Propagation.

[11]  Yong Xu,et al.  Theoretical analysis of multiplicative-noise-induced complete synchronization in global coupled dynamical network. , 2012, Chaos.

[12]  Xuerong Mao,et al.  Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control , 2013, Autom..

[13]  Jiangang Zhang,et al.  Synchronization analysis of complex networks with multi-weights and its application in public traffic network , 2014 .

[14]  Jingyuan Zhang,et al.  Inner and outer synchronization between two coupled networks with interactions , 2015, J. Frankl. Inst..

[15]  Hui Wang,et al.  Synchronization of coupled delayed switched neural networks with impulsive time window , 2016 .

[16]  Ju H. Park,et al.  Mean square exponential synchronization for impulsive coupled neural networks with time-varying delays and stochastic disturbances , 2016, Complex..

[17]  Dongho You,et al.  Hybrid STBC–SM Suitable for Multi-link Device-to-Device Communication in Cellular Networks , 2017, Wirel. Pers. Commun..

[18]  Tingwen Huang,et al.  Controllability and Synchronization Analysis of Identical-Hierarchy Mixed-Valued Logical Control Networks , 2017, IEEE Transactions on Cybernetics.

[19]  Bing Chen,et al.  Synchronization of stochastic coupled systems via feedback control based on discrete-time state observations , 2017 .

[20]  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..

[21]  Fuad E. Alsaadi,et al.  Unified synchronization criteria in an array of coupled neural networks with hybrid impulses , 2018, Neural Networks.

[22]  Yao Xu,et al.  Quantized feedback control scheme on coupled systems with time delay and distributed delay: A finite-time inner synchronization analysis , 2018, Appl. Math. Comput..

[23]  Zhongkui Sun,et al.  Positive role of multiplication noise in attaining complete synchronization on large complex networks of dynamical systems , 2018 .

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

[25]  Zhe Nie,et al.  Pinning complex-valued complex network via aperiodically intermittent control , 2018, Neurocomputing.

[26]  Jinde Cao,et al.  Stability and stabilization for stochastic Cohen‐Grossberg neural networks with impulse control and noise‐induced control , 2018, International Journal of Robust and Nonlinear Control.

[27]  Xinsong Yang,et al.  Synchronization criteria for neural networks with proportional delays via quantized control , 2018 .

[28]  Lin Shi,et al.  Exponential synchronization of stochastic complex networks with multi-weights: A graph-theoretic approach , 2019, J. Frankl. Inst..

[29]  Huan Su,et al.  Stability analysis for stochastic complex-valued delayed networks with multiple nonlinear links and impulsive effects , 2019, Nonlinear Dynamics.

[30]  Junlin Xiong,et al.  Vector-Lyapunov-Function-Based Input-to-State Stability of Stochastic Impulsive Switched Time-Delay Systems , 2019, IEEE Transactions on Automatic Control.

[31]  Hui Zhou,et al.  Synchronization of Stochastic Lévy Noise Systems on a Multi-Weights Network and Its Applications of Chua’s Circuits , 2019, IEEE Transactions on Circuits and Systems I: Regular Papers.

[32]  Wenxue Li,et al.  Intermittent control to stationary distribution and exponential stability for hybrid multi-stochastic-weight coupled networks based on aperiodicity , 2019, J. Frankl. Inst..

[33]  Wenxue Li,et al.  Stability of random impulsive coupled systems on networks with Markovian switching , 2019, Stochastic Analysis and Applications.

[34]  Peiyong Duan,et al.  Synchronization of complex networks with time-varying delay of unknown bound via delayed impulsive control , 2020, Neural Networks.

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

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

[37]  Wenxue Li,et al.  Almost sure exponential stabilization of hybrid stochastic coupled systems via intermittent noises: A higher-order nonlinear growth condition , 2020 .

[38]  Yang Cao,et al.  Effects of infinite occurrence of hybrid impulses with quasi-synchronization of parameter mismatched neural networks , 2020, Neural Networks.

[39]  Wenxue Li,et al.  FINITE-TIME SYNCHRONIZATION FOR COUPLED SYSTEMS WITH TIME DELAY AND STOCHASTIC DISTURBANCE UNDER FEEDBACK CONTROL , 2020 .

[40]  Sen Li,et al.  Stabilisation of multi-weights stochastic complex networks with time-varying delay driven by G-Brownian motion via aperiodically intermittent adaptive control , 2019, Int. J. Control.