Skip to main content

2022 | OriginalPaper | Buchkapitel

Synchronization of Complex Networks Subject to Impulses with Average Characteristics

verfasst von : Bangxin Jiang, Jianquan Lu

Erschienen in: Complex Networks & Their Applications X

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In this study, synchronization of complex networks subject to impulses with average characteristics is investigated. Specifically, the ideas of average impulse interval and average impulse delay are applied to analyze the effect of delayed impulses on synchronization of complex networks. Further, the new concept of average impulse exponential gain is proposed to globally describe the multiple impulses whose magnitude is allowed to be time-varying. Interestingly, it is shown that the delay in impulses can possess synchronizing impact on the synchronization of complex networks with such multiple delayed impulses. Finally, an numerical example is presented to illustrate the validness of the derived results.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Boccaletti, S., Latora, V., Moreno, Y., Chavez, M., Hwang, D.-U.: Complex networks: structure and dynamics. Phys. Rep. 424(4–5), 175–308 (2006)MathSciNetCrossRefMATH Boccaletti, S., Latora, V., Moreno, Y., Chavez, M., Hwang, D.-U.: Complex networks: structure and dynamics. Phys. Rep. 424(4–5), 175–308 (2006)MathSciNetCrossRefMATH
2.
Zurück zum Zitat Arenas, A., Díaz-Guilera, A., Kurths, J., Moreno, Y., Zhou, C.: Synchronization in complex networks. Phys. Rep. 469(3), 93–153 (2008)MathSciNetCrossRef Arenas, A., Díaz-Guilera, A., Kurths, J., Moreno, Y., Zhou, C.: Synchronization in complex networks. Phys. Rep. 469(3), 93–153 (2008)MathSciNetCrossRef
3.
Zurück zum Zitat Lu, W., Chen, T.: New approach to synchronization analysis of linearly coupled ordinary differential systems. Phys. D 213(2), 214–230 (2006)MathSciNetCrossRefMATH Lu, W., Chen, T.: New approach to synchronization analysis of linearly coupled ordinary differential systems. Phys. D 213(2), 214–230 (2006)MathSciNetCrossRefMATH
4.
Zurück zum Zitat Jiang, B., Lu, J., Lou, J., Qiu, J.: Synchronization in an array of coupled neural networks with delayed impulses: average impulsive delay method. Neural Netw. 121, 452–460 (2020)CrossRef Jiang, B., Lu, J., Lou, J., Qiu, J.: Synchronization in an array of coupled neural networks with delayed impulses: average impulsive delay method. Neural Netw. 121, 452–460 (2020)CrossRef
5.
Zurück zum Zitat Wang, Y., Lu, J., Liang, J., Cao, J., Perc, M.: Pinning synchronization of nonlinear coupled Lur’e networks under hybrid impulses. IEEE Trans. Circuits Syst. II Express Briefs 66(3), 432–436 (2019) Wang, Y., Lu, J., Liang, J., Cao, J., Perc, M.: Pinning synchronization of nonlinear coupled Lur’e networks under hybrid impulses. IEEE Trans. Circuits Syst. II Express Briefs 66(3), 432–436 (2019)
6.
Zurück zum Zitat Lakshmikantham, V., Simeonov, P.S.: Theory of Impulsive Differential Equations, vol. 6. World Scientific, Singapore (1989)CrossRefMATH Lakshmikantham, V., Simeonov, P.S.: Theory of Impulsive Differential Equations, vol. 6. World Scientific, Singapore (1989)CrossRefMATH
7.
Zurück zum Zitat Benchohra, M., Henderson, J., Ntouyas, S.: Impulsive Differential Equations and Inclusions, vol. 2. Hindawi Publishing Corporation, New York (2006)CrossRefMATH Benchohra, M., Henderson, J., Ntouyas, S.: Impulsive Differential Equations and Inclusions, vol. 2. Hindawi Publishing Corporation, New York (2006)CrossRefMATH
9.
Zurück zum Zitat Li, X., Song, S.: Stabilization of delay systems: delay-dependent impulsive control. IEEE Trans. Autom. Control 62(1), 406–411 (2016)MathSciNetCrossRefMATH Li, X., Song, S.: Stabilization of delay systems: delay-dependent impulsive control. IEEE Trans. Autom. Control 62(1), 406–411 (2016)MathSciNetCrossRefMATH
10.
Zurück zum Zitat Chen, W.H., Zheng, W.X.: Input-to-state stability and integral input-to-state stability of nonlinear impulsive systems with delays. Automatica 45(6), 1481–1488 (2009)MathSciNetCrossRefMATH Chen, W.H., Zheng, W.X.: Input-to-state stability and integral input-to-state stability of nonlinear impulsive systems with delays. Automatica 45(6), 1481–1488 (2009)MathSciNetCrossRefMATH
11.
Zurück zum Zitat Jiang, B., Lou, J., Lu, J., Kaibo, S.: Synchronization of chaotic neural networks: average-delay impulsive control. IEEE Trans. Neural Netw. Learn. Syst Jiang, B., Lou, J., Lu, J., Kaibo, S.: Synchronization of chaotic neural networks: average-delay impulsive control. IEEE Trans. Neural Netw. Learn. Syst
12.
Zurück zum Zitat Li, X., Song, S., Wu, J.: Exponential stability of nonlinear systems with delayed impulses and applications. IEEE Trans. Autom. Control 64(10), 4024–4034 (2019)MathSciNetCrossRefMATH Li, X., Song, S., Wu, J.: Exponential stability of nonlinear systems with delayed impulses and applications. IEEE Trans. Autom. Control 64(10), 4024–4034 (2019)MathSciNetCrossRefMATH
13.
Zurück zum Zitat Jiang, B., Lu, J., Liu, Y.: Exponential stability of delayed systems with average-delay impulses. SIAM J. Control. Optim. 58(6), 3763–3784 (2020)MathSciNetCrossRefMATH Jiang, B., Lu, J., Liu, Y.: Exponential stability of delayed systems with average-delay impulses. SIAM J. Control. Optim. 58(6), 3763–3784 (2020)MathSciNetCrossRefMATH
14.
Zurück zum Zitat Wang, N., Li, X., Lu, J., Alsaadi, F.E.: Unified synchronization criteria in an array of coupled neural networks with hybrid impulses. Neural Netw. 101, 25–32 (2018)CrossRefMATH Wang, N., Li, X., Lu, J., Alsaadi, F.E.: Unified synchronization criteria in an array of coupled neural networks with hybrid impulses. Neural Netw. 101, 25–32 (2018)CrossRefMATH
15.
Zurück zum Zitat Chung, F.R., Graham, F.C.: Spectral Graph Theory, no. 92. American Mathematical Society (1997) Chung, F.R., Graham, F.C.: Spectral Graph Theory, no. 92. American Mathematical Society (1997)
16.
Zurück zum Zitat Horn, R.A., Horn, R.A., Johnson, C.R.: Matrix Analysis. Cambridge University Press, Cambridge (1990)MATH Horn, R.A., Horn, R.A., Johnson, C.R.: Matrix Analysis. Cambridge University Press, Cambridge (1990)MATH
17.
Zurück zum Zitat Lu, J., Ho, D.W.C., Cao, J.: A unified synchronization criterion for impulsive dynamical networks. Automatica 46(7), 1215–1221 (2010)MathSciNetCrossRefMATH Lu, J., Ho, D.W.C., Cao, J.: A unified synchronization criterion for impulsive dynamical networks. Automatica 46(7), 1215–1221 (2010)MathSciNetCrossRefMATH
18.
Zurück zum Zitat Newman, M.E., Watts, D.J.: Scaling and percolation in the small-world network model. Phys. Rev. E 60(6), 7332 (1999)CrossRef Newman, M.E., Watts, D.J.: Scaling and percolation in the small-world network model. Phys. Rev. E 60(6), 7332 (1999)CrossRef
19.
Zurück zum Zitat Yang, H., Wang, X., Zhong, S., Shu, L.: Synchronization of nonlinear complex dynamical systems via delayed impulsive distributed control. Appl. Math. Comput. 320, 75–85 (2018)MathSciNetCrossRefMATH Yang, H., Wang, X., Zhong, S., Shu, L.: Synchronization of nonlinear complex dynamical systems via delayed impulsive distributed control. Appl. Math. Comput. 320, 75–85 (2018)MathSciNetCrossRefMATH
20.
Zurück zum Zitat Chen, W.-H., Wei, D., Lu, X.: Global exponential synchronization of nonlinear time-delay Lur’e systems via delayed impulsive control. Commun. Nonlinear Sci. Numer. Simul. 19(9), 3298–3312 (2014)MathSciNetCrossRefMATH Chen, W.-H., Wei, D., Lu, X.: Global exponential synchronization of nonlinear time-delay Lur’e systems via delayed impulsive control. Commun. Nonlinear Sci. Numer. Simul. 19(9), 3298–3312 (2014)MathSciNetCrossRefMATH
21.
Zurück zum Zitat Liu, X., Zhang, K.: Synchronization of linear dynamical networks on time scales: pinning control via delayed impulses. Automatica 72, 147–152 (2016)MathSciNetCrossRefMATH Liu, X., Zhang, K.: Synchronization of linear dynamical networks on time scales: pinning control via delayed impulses. Automatica 72, 147–152 (2016)MathSciNetCrossRefMATH
Metadaten
Titel
Synchronization of Complex Networks Subject to Impulses with Average Characteristics
verfasst von
Bangxin Jiang
Jianquan Lu
Copyright-Jahr
2022
DOI
https://doi.org/10.1007/978-3-030-93409-5_66

Premium Partner