Lag Synchronization in Mean Square of Stochastic Complex Networks with Multiple Mixed Delays via Impulsive Control

• Autores: Siyi Gong, Lin Shi
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 2, 2024
• Idioma: inglés
• DOI: 10.1007/s12346-023-00924-7
• Enlaces
  • Texto completo
• Resumen

  • In this paper, the lag synchronization problem in mean square of a class of complex stochastic networks with multiple mixed delays is studied. The mixed delays involved in this paper not only include n non-identical nonlinear time-varying delays and a coupled delay, but also include a infinite distributed delay. Using the impulsive differential inequality and the Lyapunov method, it is proved that this kind of the network can reach to be lag synchronization. Finally, two examples are given to illustrated to verify the effectiveness of our proposed result.

• Referencias bibliográficas
  • 1. Watts, D.J., Strogatz, S.H.: Collective dynamics of small-world networks. Nature 393, 440–442 (1998)
  • 2. Barabasi, A.L., Albert, R.: Emergence of scaling in random networks. Science 286, 509–512 (1999)
  • 3. Wu, Y.P., Chen, Z.L., Zhao, X.D., Liu, Y., Zhang, P., Liu, Y.J.: Robust analysis of cascading failures in complex networks. Phys. A 583,...
  • 4. Roy, I., Vijayaraghavan, S., Ramaia, S.J., Samal, A.: Forman–Ricci curvature and persistent homology of unweighted complex networks. Chaos...
  • 5. Xin, R.Y., Zhang, J., Shao, Y.T.: Complex network classification with convolutional neural network. Tsinghua Sci. Technol. 25, 447–457...
  • 6. Lu, J.H., Chen, G.R.: A time-varying complex dynamical network model and its controlled synchronization criteria. IEEE Trans. Autom. Control...
  • 7. Weng, T.F., Chen, X.L., Ren, Z.M., Yang, H.J., Zhang, J., Small, M.: Synchronization of machine learning oscillators in complex networks....
  • 8. Cao, Y.Y., Cao, Y., Guo, Z.Y., Huang, T.W., Wen, S.P.: Global exponential synchronization of delayed memristive neural networks with reaction–diffusion...
  • 9. Li, X.D., Song, S.J., Wu, J.H.: Exponential stability of nonlinear systems with delayed impulses and applications. IEEE Trans. Autom. Control...
  • 10. Wu, Y.B., Fu, S.X., Li, W.X.: Exponential synchronization for coupled complex networks with timevarying delays and stochastic perturbations...
  • 11. Yang, X.S., Zhu, Q.X., Huang, C.X.: Lag stochastic synchronization of chaotic mixed time-delayed neural networks with uncertain parameters...
  • 12. Yang, Y.Q., Cao, J.D.: Exponential lag synchronization of a class of chaotic delayed neural networks with impulsive effects. Phys. A 386,...
  • 13. Al-mahbashi, G., Noorani, M.S.M., Bakar, S.A., Vahedi, S.: Adaptive projective lag synchronization of uncertain complex dynamical networks...
  • 14. Abdurahman, A., Abudusaimaiti, M., Jiang, H.: Fixed/predefined-time lag synchronization of complexvalued bam neural networks with stochastic...
  • 15. Zhang, C., Wang, X.Y., Ye, X.L., Zhou, S., Feng, L.: Robust modified function projective lag synchronization between two nonlinear complex...
  • 16. Yuan, X.L., Ren, G.J., Wang, H., Yu, Y.G.: Mean-square synchronization of fractional-order stochastic complex network via pinning control....
  • 17. Wu, K.N., Liu, X.Z., Yang, B.Q., Lim, C.C.: Mean square finite-time synchronization of impulsive stochastic delay reaction–diffusion systems....
  • 18. Fu, Q.H., Zhong, S.M., Jiang, W.B., Xie, W.Q.: Projective synchronization of fuzzy memristive neural networks with pinning impulsive control....
  • 19. Wu, Y.Y., Cao, J.D., Li, Q.B., Alsaedi, A., Alsaadi, F.E.: Finite-time synchronization of uncertain coupled switched neural networks under...
  • 20. Liu, H.W., Zhao, F., Wang, M.Y., Qiu, J.L., Chen, X.Y.: Finite-time pinning impulsive synchronization of stochastic complex networks with...
  • 21. Wang, M.C., Lu, X.W., Yang, Q., Ma, Z.J., Cheng, J., Li, K.Z.: Pinning control of successive lag synchronization on a dynamical network...
  • 22. Assali, E.A.: Predefined-time synchronization of chaotic systems with different dimensions and applications. Chaos Solitons Fractals 147,...
  • 23. Fan, Y.Q., Wang, Y.H., Zhang, Y., Wang, Q.R.: The synchronization of complex dynamical networks with similar nodes and coupling time-delay....
  • 24. Lin, H., Wang, J.C.: Pinning synchronization of complex networks with time-varying outer coupling and nonlinear multiple time-varying...
  • 25. Hu, J.T., Sui, G.X., Li, X.D.: Fixed-time synchronization of complex networks with time-varying delays. Chaos Solitons Fractals 140, 110216...
  • 26. Zhang, Q.,Wei, X.P., Xu, J.: Global exponential stability of Hopfield neural networks with continuously distributed delays. Phys. Lett....
  • 27. Lu, J.G.: Robust global exponential stability for interval reaction–diffusion Hopfield neural networks with distributed delays. IEEE Trans....
  • 28. Chen, L.J., Wan, L.Y., Wei, X.L., Wang, L.M., He, H.Q.: Adaptive synchronization of reaction diffusion neural networks with infinite distributed...
  • 29. Qiu, X.L., Lin, W.S., Zheng, Y.M.: Function projective synchronization of complex networks with distributed delays via hybrid feedback...
  • 30. Wang, X., Liu, X.Z., She, K., Zhong, S.M.: Pinning impulsive synchronization of complex dynamical networks with various time-varying delay...
  • 31. Wang, Y., Tian, Y.J., Li, X.D.: Global exponential synchronization of interval neural networks with mixed delays via delayed impulsive...
  • 32. Li, B., Wang, Z.D., Ma, L.F.: An event-triggered pinning control approach to synchronization of discrete-time stochastic complex dynamical...
  • 33. Aadhithiyan, S., Raja, R., Zhu, Q., Alzabut, J., Niezabitowski, M., Lim, C.P.: Modified projective synchronization of distributive fractional...
  • 34. Shen, Y., Liu, X.Z.: Generalized synchronization of delayed complex-valued dynamical networks via hybrid control. Commun. Nonlinear Sci....
  • 35. Li, X.D., Ho, D.W.C., Cao, J.D.: Finite-time stability and settling-time estimation of nonlinear impulsive systems. Automatica 99, 361–368...
  • 36. Li, X.D., Yang, X.Y., Cao, J.D.: Event-triggered impulsive control for nonlinear delay systems. Automatica 117, 108981 (2020)
  • 37. Fan, H.G., Shi, K.B., Zhao, Y.: Global μ-synchronization for nonlinear complex networks with unbounded multiple time delays and uncertainties...
  • 38. Yang, S.J., Li, C.D., He, X.P., Zhang, W.L.: Variable-time impulsive control for bipartite synchronization of coupled complex networks...
  • 39. Li, R.H., Wu, H.Q., Cao, J.D.: Exponential synchronization for variable-order fractional discontinuous complex dynamical networks with...
  • 40. Zhang, L., Yang, X., Xu, C., Feng, J.: Exponential synchronization of complexvalued complex networks with time-varying delays and stochastic...
  • 41. Cohen, M.A., Grossberg, S.: Absolute stability of global pattern formation and parallel memory storage by competitive neural networks....
  • 42. Mao, X.R.: LaSalle-type theorems for stochastic differential delay equations. J. Math. Anal. Appl. 236, 350–369 (1999)