Delay-dependent-stability of stochastic delay coupled systems on networks with regime-switching-diffusions

Abstract In this paper, delay-dependent-stability of stochastic delay coupled systems on networks with regime-switching-diffusions (SDCSRD) is investigated. Here, regime-switching-diffusions and time-varying delay are both considered into stochastic coupled systems on networks. Combining Lyapunov functional method with graph theory, several delay-dependent-stability criteria are derived to ensure H ∞ -stability and asymptotical stability in L p of SDCSRD. Particularly, as a concrete application of the theoretical results, we study the delay-dependent asymptotical stability in mean square of stochastic delay coupled oscillators with regime-switching-diffusions. Ultimately, two numerical examples are provided to exhibit the effectiveness of the results.

[1]  Jinde Cao,et al.  Stability Analysis of Markovian Jump Stochastic BAM Neural Networks With Impulse Control and Mixed Time Delays , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[2]  Huaguang Zhang,et al.  Synchronization stability in complex interconnected neural networks with nonsymmetric coupling , 2013, Neurocomputing.

[3]  Lixiang Li,et al.  Finite-time stability and synchronization of memristor-based fractional-order fuzzy cellular neural networks , 2018, Commun. Nonlinear Sci. Numer. Simul..

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

[5]  Ke Wang,et al.  Graph-theoretic method on exponential synchronization of stochastic coupled networks with Markovian switching , 2015 .

[6]  Hui Zhao,et al.  Finite‐time synchronization for memristor‐based BAM neural networks with stochastic perturbations and time‐varying delays , 2018, International Journal of Robust and Nonlinear Control.

[7]  Lixiang Li,et al.  General decay synchronization of complex multi-links time-varying dynamic network , 2019, Commun. Nonlinear Sci. Numer. Simul..

[8]  Liangjian Hu,et al.  Generalized criteria on delay‐dependent stability of highly nonlinear hybrid stochastic systems , 2018, International Journal of Robust and Nonlinear Control.

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

[10]  Xiaohua Ding,et al.  Synchronization of stochastic hybrid coupled systems with multi-weights and mixed delays via aperiodically adaptive intermittent control , 2020 .

[11]  Jun Liu,et al.  H-Infinity Load Frequency Control of Networked Power Systems via an Event-Triggered Scheme , 2020, IEEE Transactions on Industrial Electronics.

[12]  Wenxue Li,et al.  Razumikhin method to stability of delay coupled systems with hybrid switching diffusions , 2020 .

[13]  Chunmei Zhang,et al.  Stability analysis of stochastic delayed complex networks with multi-weights based on Razumikhin technique and graph theory , 2020 .

[14]  Fubao Xi,et al.  Stability and Recurrence of Regime-Switching Diffusion Processes , 2014, SIAM J. Control. Optim..

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

[16]  M. Syed Ali,et al.  Dynamic stability analysis of stochastic fractional-order memristor fuzzy BAM neural networks with delay and leakage terms , 2020, Appl. Math. Comput..

[17]  Jiqiang Feng,et al.  Stability of stochastic discrete-time piecewise homogeneous Markov jump systems with time delay and impulsive effects , 2020 .

[18]  M. Syed Ali,et al.  Novel delay-dependent robust H∞ control of uncertain systems with distributed time-varying delays , 2014, Appl. Math. Comput..

[19]  Ljupco Kocarev,et al.  Tracking Control of Networked Multi-Agent Systems Under New Characterizations of Impulses and Its Applications in Robotic Systems , 2016, IEEE Transactions on Industrial Electronics.

[20]  Wenxue Li,et al.  Stabilization of stochastic time-varying coupled systems with delays and Lévy noise on networks based on aperiodically intermittent control , 2020, Eng. Appl. Artif. Intell..

[21]  Jiqiang Feng,et al.  Stability of stochastic Lévy noise coupled systems with mixed delays , 2020, Int. J. Control.

[22]  Xiaoling Zou,et al.  Dynamical analysis on two stochastic single-species models , 2020, Appl. Math. Lett..

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

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

[25]  Fubao Xi,et al.  Asymptotic properties of jump-diffusion processes with state-dependent switching , 2009 .

[26]  Gang George Yin,et al.  Stability of Regime-Switching Jump Diffusions , 2010, SIAM J. Control. Optim..

[27]  Gang George Yin,et al.  Almost Sure and pth-Moment Stability and Stabilization of Regime-Switching Jump Diffusion Systems , 2014, SIAM J. Control. Optim..

[28]  Dianhui Chu,et al.  Stationary distribution of stochastic multi-group models with dispersal and telegraph noise , 2019, Nonlinear Analysis: Hybrid Systems.

[29]  Kai Wang,et al.  Almost Sure and Moment Exponential Stability of Regime-Switching Jump Diffusions , 2017, SIAM J. Control. Optim..

[30]  Chuan Chen,et al.  Synchronization Control of Coupled Memristor-Based Neural Networks with Mixed Delays and Stochastic Perturbations , 2017, Neural Processing Letters.

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

[32]  George Yin,et al.  Feynman–Kac formulas for regime-switching jump diffusions and their applications , 2015, 1702.01495.

[33]  Wei Zhao,et al.  Input-to-state stability for stochastic multi-group models with multi-dispersal and time-varying delay , 2019, Appl. Math. Comput..

[34]  Liangjian Hu,et al.  Delay dependent stability of highly nonlinear hybrid stochastic systems , 2017, Autom..

[35]  Rathinasamy Sakthivel,et al.  Synchronization and state estimation for stochastic complex networks with uncertain inner coupling , 2017, Neurocomputing.