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Research Articles

Delay tolerance for stochastic complex networks

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Pages 1191-1197 | Received 13 Dec 2022, Accepted 12 Apr 2023, Published online: 28 Apr 2023

References

  • Bainov, D., & Simeonov, P. (1992). Integral inequalities and applications. Kluwer Academiac Publishers.
  • Dshalow, J. (1989). Multichannel queuing systems with infinite waiting room and stochastic control. Journal of Applied Probability, 26(2), 345–362. https://doi.org/10.2307/3214040
  • Fei, W., Hu, L., Mao, X., & Shen, M. (2017). Delay dependent stability of highly nonlinear hybrid stochastic systems. Automatica, 82, 165–170. https://doi.org/10.1016/j.automatica.2017.04.050
  • Guo, H., & Li, M. (2012). Impacts of migration and immigration on disease transmission dynamics in heterogeneous populations. Discrete and Continuous Dynamical Systems Series B, 17(7), 2413–2430. https://doi.org/10.3934/dcdsb.2012.17.2413
  • Jovanović, M., & Janković, S. (2006). Functionally perturbed stochastic differential equations. Mathematische Nachrichten, 279(16), 1808–1822. https://doi.org/10.1002/(ISSN)1522-2616
  • Li, S., Sun, H., & Li, W. (2020). Stochastic hybrid multi-links networks with mixed delays: stabilisation analysis via aperiodically adaptive intermittent control. International Journal of Systems Science, 51(5), 852–877. https://doi.org/10.1080/00207721.2020.1746431
  • Li, W., Wang, S., Su, H., & Wang, K. (2015). Global exponential stability for stochastic networks of coupled oscillators with variable delay. Communications in Nonlinear Science and Numerical Simulation, 22(1), 877–888. https://doi.org/10.1016/j.cnsns.2014.10.029
  • Liu, Y., Wang, Z., & Liu, X. (2012). Stability analysis for a class of neutral-type neural networks with Markovian jumping parameters and mode-dependent mixed delays. Neurocomputing, 94, 46–53. https://doi.org/10.1016/j.neucom.2012.04.003
  • Mao, X. (1997). Stochastic differential equations and their applications. Horwood Publishing Series in Mathematics & Applications. Horwood Publishing Limited.
  • Muroya, Y., Enatsu, Y., & Kuniya, T. (2013). Global stability of extended multi-group sir epidemic models with patches through migration and cross patch infection. Acta Mathematica Scientia, 33(2), 341–361. https://doi.org/10.1016/S0252-9602(13)60003-X
  • Sepúlveda, D. (2018). Approximation of linear differential equations with variable delay on an infinite interval. arXiv 1607, 06960.
  • Wu, Y., Zhu, J., & Li, W (2019). Intermittent discrete observation control for synchronization of stochastic neural networks. IEEE Transactions on Cybernetics, 50(6), 2414–2424. https://doi.org/10.1109/TCYB.6221036
  • Xu, Y., Zhou, H., & Li, W. (2020). Stabilisation of stochastic delayed systems with Lévy noise on networks via periodically intermittent control. International Journal of Control, 93(3), 505–518. https://doi.org/10.1080/00207179.2018.1479538
  • Zhang, C., & Han, B. (2019). Stability analysis of stochastic delayed complex networks with multi-weights based on Razumikhin technique and graph theory. Physica A, 538, 122827. https://doi.org/10.1016/j.physa.2019.122827
  • Zhang, C., Li, W., Su, H., & Wang, K. (2013). A graph-theoretic approach to boundedness of stochastic Cohen-Grossberg neural networks with Markovian switching. Applied Mathematics and Computation, 219(17), 9165–9173. https://doi.org/10.1016/j.amc.2013.03.048
  • Zhang, N., Wang, X., & Li, W. (2022). Stability for multi-linked stochastic delayed complex networks with stochastic hybrid impulses by Dupire Itô's formula. Nonlinear Analysis: Hybrid Systems, 45, 101200. https://doi.org/10.1016/j.nahs.2022.101200
  • Zong, X., Li, T., Yin, G., & Zhang, J. (2021). Delay tolerance for stable stochastic systems and extensions. IEEE Transactions on Automatic Control, 66(6), 2604–2619. https://doi.org/10.1109/TAC.2020.3012525

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