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Research Article

Hybrid multi-delay impulsive control for synchronisation of multi-links stochastic delayed complex networks with semi-Markov jump

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Pages 282-301 | Received 10 Apr 2021, Accepted 27 Sep 2021, Published online: 18 Oct 2021

References

  • Bian, Q. X., & Yao, H. X. (2010). Synchronization of weighted complex networks with multi-links and nonlinear coupling. Acta Physica Sinica, 59(5), 3027–3034. https://doi.org/10.7498/aps.59.3027
  • Chen, L. L., Yang, N., & Zhou, J. (2020). Common attractive points of generalized hybrid multi-valued mappings and applications. Mathematics, 8(8), 1307. https://doi.org/10.3390/math8081307
  • Ding, S. H., Park, J. H., & Chen, C. C. (2020). Second-order sliding mode controller design with output constraint. Automatica, 112(12), 108704. https://doi.org/10.1016/j.automatica.2019.108704
  • Dong, H. L., Hou, N., & Wang, Z. D. (2020). Fault estimation for complex networks with randomly varying topologies and stochastic inner couplings. Automatica, 112(11), 108734. https://doi.org/10.1016/j.automa-tica.2019.108734
  • Feng, L., Yu, J., Hu, C., Yang, C. D., & Jiang, H. J. (2021). Nonseparation method based finite/fixed-time synchronization of fully complex-valued discontinuous neural networks. IEEE Transactions on Cybernetics, 51(6), 3239–3250. https://doi.org/10.1109/TCYB.2020.2980684
  • Guo, B. B., Xiao, Y., & Zhang, C. P. (2020). Graph theory-based adaptive intermittent synchronization for stochastic delayed complex networks with semi-Markov jump. Applied Mathematics and Computation, 366, 124739. https://doi.org/10.1016/j.amc.2019.124739
  • Jiang, B. X., Lu, J. K., Lou, J. G., & Qiu, J. L. (2020). Synchronization in an array of coupled neural networks with delayed impulses: Average impulsive delay method. Neural Networks, 121(3), 452–460. https://doi.org/10.1016/j.neunet.2019.09.019
  • Kan, Y., Lu, J. Q., Qiu, J. L., & Kurths, J. (2019). Exponential synchronization of time-varying delayed complex-valued neural networks under hybrid impulsive controllers. Neural Networks, 114(1), 157–163. https://doi.org/10.1016/j.neunet.2019.02.006
  • Kong, F. C., Ren, Y., & Sakthivel, R. (2021). New criteria on periodicity and stabilization of discontinuous uncertain inertial Cohen-Grossberg neural networks with proportional delays. Chaos, Solitons, and Fractals, 150, 111148. https://doi.org/10.1016/j.chaos.2021.111148
  • Li, H. B., & Zhao, Q. (2006). Reliability evaluation of fault tolerant control with a semi-Markov fault detection and isolation model. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 220(I5), 329–338. https://doi.org/10.1243/09596518JSCE225
  • Li, M. Y., & Shuai, Z. S. (2010). Global-stability problem for coupled systems of differential equations on networks. Journal of Differential Equations, 248(1), 1–20. https://doi.org/10.1016/j.jde.2009.09.003
  • Li, S., Lv, C. Y., & Ding, X. H. (2020). Synchronization of stochastic hybrid coupled systems with multi-weights and mixed delays via aperiodically adaptive intermittent control. Nonlinear Analysis: Hybrid Systems, 35, 100819. https://doi.org/10.1016/j.nahs.2019.100819
  • Li, S., Sun, H. D., & Li, W. X. (2021). Stabilization of novel multi-layer networks with noise-based nonlinear superior couplings via aperiodically adaptive intermittent pinning control. Nonlinear Analysis: Hybrid Systems, 42, 101061. https://doi.org/10.1016/j.nahs.2021.101061
  • Li, W. X., Su, H., & Wang, K. (2011). Global stability analysis for stochastic coupled systems on networks. Automatica, 47(1), 215–220. https://doi.org/10.1016/j.automatica.2010.10.041
  • Liu, B., Liu, X. Z., Chen, G. R., & Wang, H. Y. (2005). Robust impulsive synchronization of uncertain dynamical networks. IEEE Transactions on Circuits and Systems I: Regular Papers, 52(7), 1431–1441. https://doi.org/10.1109/TCSI.2005.851708
  • Liu, Y., Wang, M., Chu, D. H., & Su, H. (2021). Feedback control based on discrete-time state observations on synchronization of stochastic impulsive coupled systems. Nonlinear Analysis: Hybrid Systems, 39(1), 100987. https://doi.org/10.1016/j.nahs.2020.100987.
  • Lu, C. (2022). Dynamical analysis and numerical simulations on a crowley-Martin predator-prey model in stochastic environment. Applied Mathematics and Computation, 413(15), 126641. https://doi.org/10.1016/j.amc.2021.126641
  • Lu, C., Sun, G., & Zhang, Y. (2021). Stationary distribution and extinction of a multi-stage HIV model with nonlinear stochastic perturbation. Journal of Applied Mathematics and Computing. https://doi.org/10.1007/s12190-021-01530-z.
  • Lu, J. Q., Ho, Daniel W. C., & Cao, J. D. (2010). A unified synchronization criterion for impulsive dynamical networks. Automatica, 46(7), 1215–1221. https://doi.org/10.1016/j.automatica.2010.04.005
  • Mao, X. (1997). Stochastic differential equations and applications. Horwood.
  • Peng, H. P., Wei, N., Li, L. X., Xie, W. S., & Yang, Y. X. (2010). Models and synchronization of time-delayed complex dynamical networks with multi-links based on adaptive control. Physics Letters A, 374(23), 2335–2339. https://doi.org/10.1016/j.physleta.2010.03.052
  • Sun, Z. R., Lv, J. L., & Zou, X. L. (2020). Dynamical analysis on two stochastic single-species models. Applied Mathematics Letters, 99, 105982. https://doi.org/10.1016/j.aml.2019.07.013
  • Tu, Z. W., Yang, X. S., Wang, L. W., & Ding, N. (2019). Stability and stabilization of quaternion-valued neural networks with uncertain time-delayed impulses: Direct quaternion method. Physica A, 535, 122358. https://doi.org/10.1016/j.physa.2019.122358
  • Wang, M. X., & Li, W. X. (2019). Stability of random impulsive coupled systems on networks with Markovian switching. Stochastic Analysis and Applications, 37(6), 1107–1132. https://doi.org/10.1080/07362994.2019.1643247
  • Wang, N., Li, X. C., Lu, J. Q., & Alsaadi, F. E. (2018). Unified synchronization criteria in an array of coupled neural networks with hybrid impulses. Neural Networks, 101(3), 25–32. https://doi.org/10.1016/j.neunet.2018.01.017
  • Wang, P. F., Wang, S. Q., & Su, H. (2021). Stochastic input-to-state stability of impulsive stochastic nonlinear systems in infinite dimensions. SIAM Journal on Control and Optimization, 59(4), 2774–2797. https://doi.org/10.1137/20M1330580
  • Wang, Y. Q., Lu, J. Q., Li, X. D., & Liang, J. L. (2020). Synchronization of coupled neural networks under mixed impulsive effects: A novel delay inequality approach. Neural Networks, 127(5), 38–46. https://doi.org/10.1016/j.neunet.2020.04.002
  • Wang, Y. Q., Lu, J. Q, Liang, J. L., Cao, J. D., & Perc, M. (2019). Pinning synchronization of nonlinear coupled Lur'e networks under hybrid impulses. IEEE Transactions on Circuits and Systems II: Express Briefs, 66(3), 432–436. https://doi.org/10.1109/TCSII.8920
  • Wu, Q. J., Zhou, J., & Xiang, L. (2011). Impulses-induced exponential stability in recurrent delayed neural networks. Neurocomputing, 74(17), 3204–3211. https://doi.org/10.1016/j.neucom.2011.05.001
  • Wu, T., Xiong, L. L., Cheng, J., & Xie, X. Q. (2020). New results on stabilization analysis for fuzzy semi-Markov jump chaotic systems with state quantized sampled-data controller. Information Sciences, 521(8), 231–250. https://doi.org/10.1016/j.ins.2020.02.051
  • Wu, X. H., & Mu, X. W. (2019). Event-triggered control for networked nonlinear semi-Markovian jump systems with randomly occurring uncertainties and transmission delay. Information Sciences, 487(4), 84–96. https://doi.org/10.1016/j.ins.2019.03.014
  • Wu, Y. B., Shen, B., Ahn, C. K., & Li, W. X. (2021). Intermittent dynamic event-triggered control for synchronization of stochastic complex networks. IEEE Transactions on Circuits and Systems I: Regular Papers, 68(6), 2639–2650. https://doi.org/10.1109/TCSI.8919
  • Xu, C., Tong, D. B., Chen, Q. Y., Zhou, W. N., & Shi, P. (2021). Exponential stability of Markovian jumping systems via adaptive sliding mode control. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 51(2), 954–964. https://doi.org/10.1109/TSMC.6221021
  • Xu, D. S., Liu, Y., & Liu, M. (2020). Finite-time synchronization of multi-coupling stochastic fuzzy neural networks with mixed delays via feedback control. Fuzzy Sets and Systems, 411(6), 85–104. https://doi.org/10.1016/j.fss.2020.07.015
  • Xu, Y., Gao, S., & Li, W. X. (2020). Exponential stability of fractional-order complex multi-links networks with aperiodically intermittent control. IEEE Transactions on Neural Networks and Learning Systems, 32(9), 4063–4074. https://doi.org/10.1109/TNNLS.2020.3016672
  • Yang, S., Hu, C., Yu, J., & Jiang, H. J. (2020). Exponential stability of fractional-order impulsive control systems with applications in synchronization. IEEE Transactions on Cybernetics, 50(7), 3157–3168. https://doi.org/10.1109/TCYB.6221036
  • Yang, X. S., & Cao, J. D. (2010). Finite-time stochastic synchronization of complex networks. Applied Mathematical Modelling, 34(11), 3631–3641. https://doi.org/10.1016/j.apm.2010.03.012
  • Yang, X. S., Cao, J. D., & Qiu, J. L. (2015). pth moment exponential stochastic synchronization of coupled memristor-based neural networks with mixed delays via delayed impulsive control. Neural Networks, 65(5), 80–91. https://doi.org/10.1016/j.neunet.2015.01.008
  • Yang, X. S., & Lu, J. Q. (2016). Finite-time synchronization of coupled networks with Markovian topology and impulsive effects. IEEE Transactions on Automatic Control, 61(8), 2256–2261. https://doi.org/10.1109/TAC.2015.2484328
  • Yang, X. S., & Yang, Z. C. (2014). Synchronization of TS fuzzy complex dynamical networks with time-varying impulsive delays and stochastic effects. Fuzzy Sets and Systems, 235(2), 25–43. https://doi.org/10.1016/j.fss.2013.06.008
  • Yang, X. S., Yang, Z. C., & Nie, X. B. (2014). Exponential synchronization of discontinuous chaotic systems via delayed impulsive control and its application to secure communication. Communications in Nonlinear Science & Numerical Simulation, 19(5), 1529–1543. https://doi.org/10.1016/j.cnsns.2013.09.012
  • Zhai, Y., Wang, P. F., & Su, H. (2021). Stabilization of stochastic complex networks with delays based on completely aperiodically intermittent control. Nonlinear Analysis: Hybrid Systems, 42(4), 101074. https://doi.org/10.1016/j.nahs.2021.101074.
  • Zhang, C. M., & Shi, L. (2021). Graph-theoretic method on the periodicity of coupled predator-prey systems with infinite delays on a dispersal network. Physica A, 561, 125255. https://doi.org/10.1016/j.physa.2020.125255
  • Zhang, C. M., & Yang, Y. (2020). Synchronization of stochastic multi-weighted complex networks with Levy noise based on graph theory. Physica A, 545, 123496. https://doi.org/10.1016/j.physa.2019.123496
  • Zhang, N., Chen, H. Y., & Li, W. X. (2021). Stability for multi-links stochastic delayed complex networks with semi-Markov jump under hybrid multi-delay impulsive control. Neurocomputing, 449, 214–228. https://doi.org/10.1016/j.neucom.2021.03.116
  • Zhou, H., Song, J., & Li, W. X. (2020). Razumikhin method to stability of delay coupled systems with hybrid switching diffusions. Nonlinear Analysis: Hybrid Systems, 38(4), 100934. https://doi.org/10.1016/j.nahs.2020.100934

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