Publication Cover
Applicable Analysis
An International Journal
Volume 99, 2020 - Issue 13
178
Views
0
CrossRef citations to date
0
Altmetric
Articles

Aperiodically intermittent synchronization of Markovian jump stochastic complex networks with time-varying delays

, &
Pages 2280-2306 | Received 18 Jul 2018, Accepted 11 Dec 2018, Published online: 10 Jan 2019

References

  • Strogatz S. Exploring complex networks. Nature. 2001;410:268–276. doi: 10.1038/35065725
  • Orosz G, Wilson RE, Stépán G. Traffic jams: dynamics and control introduction. Philos Trans R Soc A. 2010;368:4455–4479. doi: 10.1098/rsta.2010.0205
  • Barabási AL, Oltvai ZN. Network biology: understanding the cell's function organization. Nat Rev Genet. 2004;5:101–113. doi: 10.1038/nrg1272
  • Frank S, Giorgio F, Fernando VR. Economic networks: the new challenges. Sciences. 2009;325:422–425. doi: 10.1126/science.1173644
  • Mao X, Yuan C. Stochastic differential equations with Markovian switching. London: Imperial College Press; 2006.
  • Mathiyalagan K, Su H, Shi P, et al. Exponential H∞ filtering for discrete-times witched neural networks with random delays. IEEE Trans Cybern. 2015;45:676–687. doi: 10.1109/TCYB.2014.2332356
  • Yuan C, Mao X. Stability of stochastic delay hybrid systems with jumps. Eur J Control. 2010;16:595–608. doi: 10.3166/ejc.16.595-608
  • Wang Z, Sun J, Zhang H. Stability analysis of T-S fuzzy control system with sampled-dropouts based on time-varying Lyapunov Function method. IEEE Trans Syst Man Cybern Syst. 2018. DOI:10.1109/TSMC.2018.2822482
  • Xua R, Kao Y, Gao C. Exponential synchronization of delayed Markovian jump complex networks with generally uncertain transition rates. Appl Math Comput. 2015;271:682–693.
  • Wang J, Su L, Shen H, et al. Mixed H∞/passive sampled-data synchronization control of complex dynamical networks with distributed coupling delay. J Frankl Inst. 2017;354:1302–1320. doi: 10.1016/j.jfranklin.2016.11.035
  • Tang Z, Park Ju H, Feng J. Novel approaches to pin cluster synchronization on complex dynamical networks in Lur'e forms. Commun Nonlinear Sci Numer Simulat. 2018;57:422–438. doi: 10.1016/j.cnsns.2017.10.010
  • Liu Y, Guo B, Park Ju H, et al. Nonfragile Exponential synchronization of delayed complex dynamical networks with memory sampled-data control. IEEE Trans Neural Netw Learn Syst. 2018;29:118–128. doi: 10.1109/TNNLS.2016.2614709
  • Liu Y, Wang Z, Liu X. Exponential synchronization of complex networks with Markovian jump and mixed delays. Phy Lett A. 2008;372:3986–3998. doi: 10.1016/j.physleta.2008.02.085
  • Wang X, Li C, Huang T, et al. Impulsive exponential synchronization of randomly coupled neural networks with Markovian jumping and mixed model-dependent time delays. Neural Netw. 2014;60:25–32. doi: 10.1016/j.neunet.2014.07.008
  • Yang J, Zhou W, Shi P, et al. Adaptive synchronization of delayed Markovian switching neural networks with Lévy noise. Neurocomputing. 2015;156:231–238. doi: 10.1016/j.neucom.2014.12.056
  • Rakkiyappan R, Dharanil S. Sampled-data synchronization of randomly coupled reaction-diffusion neural networks with Markovian jumping and mixed delays using multiple integral approach. Neural Comput Appl. 2017;28:449–462. doi: 10.1007/s00521-015-2079-5
  • Tong D, Zhu Q, Zhou W, et al. Adaptive synchronization for stochastic T-S fuzzy neural networks with time-delay and Markovian jumping parameters. Neurocomputing. 2013;117:91–97. doi: 10.1016/j.neucom.2013.01.028
  • Tong D, Zhou W, Zhou X, et al. Exponential synchronization for stochastic neural networks with multi-delayed and Markovian switching via adaptive feedback control, commun. Nonlinear Sci Numer Simulat. 2015;29:359–371. doi: 10.1016/j.cnsns.2015.05.011
  • Li Y, Guo X. Exponential synchronization for stochastic neural networks with nixed time delays and Markovian jump parameters via sampled data. Abstract Appl Anal. 2014;19:505164.
  • Hu C, Yu J, Jiang H, et al. Exponential stabilization and synchronization of neural networks with time-varying delays via periodically intermittent control. Nonlinearity. 2010;23:2369–2391. doi: 10.1088/0951-7715/23/10/002
  • Liu X, Chen T. Synchronization of linearly coupled networks with delays via aperiodically intermittent pinning control. IEEE Trans Neural Netw Learn Syst. 2015;26:2396–2407. doi: 10.1109/TNNLS.2014.2383174
  • Liu M, Jiang H. Synchronization of hybrid-coupled delayed dynamical networks via aperiodically intermittent pinning control. J Frankl Inst Eng Appl Math. 2016;353:2722–2742. doi: 10.1016/j.jfranklin.2016.05.012
  • Cheng L, Chen X, Qiu J. Aperiodically intermittent control for synchronization of switched complex networks with unstable modes via matrix ω-measure approach. Nonlinear Dyn. 2018;92:1091–1102. doi: 10.1007/s11071-018-4110-8
  • Liu L, Chen WH, Lu X. Aperiodically intermittent H∞ synchronization for a class of reaction-diffusion neural networks. Neurocomputing. 2017;222:105–115. doi: 10.1016/j.neucom.2016.10.020
  • Gan Q. Exponential synchronization of generalized neural networks with mixed time-varying delays and reaction-diffusion terms via aperiodically intermittent control. Chaos. 2017;27:013113. doi: 10.1063/1.4973976
  • Zhang W, Li C, Huang T. Synchronization of neural networks with stochastic perturbation via aperiodically intermittent control. Neural Netw. 2015;71:105–111. doi: 10.1016/j.neunet.2015.08.002
  • Wan J. Synchronization of delayed complex dynamical network with hybrid-coupling via aperiodically intermittent pinning control. J Frankl Inst Eng Appl Math. 2016;354:1833–1855.
  • Li MY, Shuai Z. Global-stability problem for coupled systems of differential equations on networks. J Differ Equ. 2010;248:1–20. doi: 10.1016/j.jde.2009.09.003
  • Song H, Chen D, Li W, et al. Graph-theoretic approach to exponential synchronization of stochastic reaction-diffusion Cohen-Grossberg neural networks with time-varying delays. Neurocomputing. 2016;177:179–187. doi: 10.1016/j.neucom.2015.11.036
  • Wang P, Chen Z, Li W. Graph-theoretic approach to exponential synchronization of discrete-time stochastic coupled systems with time-varying delay. Neurocomputing. 2018;275:659–666. doi: 10.1016/j.neucom.2017.08.069
  • Suo J, Sun J, Zhang Y. Stability analysis for impulsive coupled systems on networks. Neurocomputing. 2013;99:172–177. doi: 10.1016/j.neucom.2012.06.002
  • Li W, Su H, Wei D, et al. Global stability of coupled nonlinear systems with Markovian switching. Commun Nonlinear Sci Numer Simulat. 2012;17:2609–2616. doi: 10.1016/j.cnsns.2011.09.039
  • Zhang C, Li W, Wang K. Graph-theoretic method on exponential synchronization of stochastic coupled networks with Markovian switching. Nonlinear Anal Hybrid Syst. 2015;15:37–51. doi: 10.1016/j.nahs.2014.07.003
  • Li C, Liao X, Huang T. Exponential stabilization of chaotic systems with delay by periodically intermittent control. Chaos. 2007;17:013103.
  • Xia W, Cao J. Pinning synchronization of delayed dynamical networks via periodically intermittent control. Chaos. 2009;19:013120. doi: 10.1063/1.3071933
  • Wang J, Feng J, Xu C, et al. Exponential synchronization of stochastic perturbed complex networks with time-varying delays via periodically intermittent pinning. Commun Nonlinear Sci Numer Simulat. 2013;18:3146–3157. doi: 10.1016/j.cnsns.2013.03.021
  • Zhou W, Tong D, Gao Y, et al. Mode and delay-dependent adaptive exponential synchronization in pth moment for stochastic delayed neural networks with Markovian switching. IEEE Trans Neural Netw Learn Syst. 2012;23:662–668. doi: 10.1109/TNNLS.2011.2179556
  • Chen H, Shi P, Lim C. Exponential synchronization for Markovian stochastic coupled neural networks of neutral-type via adaptive feedback control. IEEE Trans Neural Netw Learn Syst. 2017;28:1618–2631. doi: 10.1109/TNNLS.2016.2546962
  • Zhang C, Li W, Ke Wang K. Exponential synchronization of stochastic coupled oscillators networks with delays. Appl Anal. 2017;96:1058–1075. doi: 10.1080/00036811.2016.1178240
  • Wu Y, Chen B, Li W. Synchronization of stochastic coupled systems via feedback control based on discrete-time state observations. Nonlinear Anal Hybrid Syst. 2017;26:68–85. doi: 10.1016/j.nahs.2017.04.006
  • Guo B, Xiao Y, Zhang C. Graph-theoretic approach to exponential stability for coupled systems with discrete time delays under periodically intermittent control. J Frankl Inst Eng Appl Math. 2017;354:5067–5090. doi: 10.1016/j.jfranklin.2017.05.029

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.