Abstract
In this paper, global exponential synchronization of a class of discrete delayed complex networks with switching topology is investigated by using Lyapunov-Ruzimiki method. The impulsive scheme is designed to work at the time instant of switching occurrence. A time-varying delay dependent criterion for impulsive synchronization is given to ensure the delayed discrete complex networks switching topology tending to a synchronous state. Furthermore, a numerical simulation is given to illustrate the effectiveness of main results.
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References
Watts, D.J., Strogatz, S.H.: Collective dynamics of ’small-world’ networks. Nature 393, 440–442 (1998)
Barab, A.L., Albert, R.: Emergence of scaling in random networks. Science 286, 509–512 (1999)
Strogatz, S.H.: Exploring Complex Networks. Nature 410, 268–276 (2001)
VanWiggeren, G.D., Roy, R.: Communication with chaotic lasers. Science 279, 1198–1200 (1998)
Fischer, I., Liu, Y., Davis, P.: Synchronization of chaotic semiconductor laser dynamics on subnanosecond time scales and its potential for chaos communication. Physical Review A 62, 011801-1–011801-4 (2000)
Hoppensteadt, F.C., Izhikevich, E.M.: Pattern recognition via synchronization in phase-locked loop neural networks. IEEE Transacations on Neural Networks 11, 734–738 (2000)
Wang, X.F., Chen, G.R.: Synchronization in scale-free dynamical networks:robustness and fragility. IEEE Transacations on Circuits and Systems – I, Reg. Papers. 49, 54–62 (2002)
Wu, C.: Synchronization in networks of nonlinear dynamical systems coupled via a directed graph. Nonlinearity 18, 1057–1064 (2005)
Wang, Z., Wang, Y., Liu, Y.: Global synchronization for discrete-time stochastic complex networks with randomly occurred nonlinearities and mixed time delays. IEEE Transacations on Neural Networks 21, 11–25 (2010)
Li, X., Wang, X.F., Chen, G.: Pinning a complex network to its equilibrium. IEEE Transacations on Circuits and Systems – I, Reg. Papers 51, 2074–2087 (2004)
Li, C.D., Shen, Y.Y., Feng, G.: Stabilizing effects of impulse in delayed BAM neural networks. IEEE Transactions on Circuits and Systems–II, Brief papers 53, 1284–1288 (2008)
Li, C.J., Li, C.D., Liao, X.F., Huang, T.W.: Impulsive effects on stability of high-order BAM neural networks with time delays. Neurocomputing 74, 1541–1550 (2011)
Li, C.J., Li, C.D., Huang, T.W.: Exponential stability of impulsive high order Hopfield-type neural networks with delays and reaction–diffusion. International Journal of Computer Mathematics 88, 3150–3162 (2011)
Lu, J., Ho, D.W.C., Wu, L.: Exponential stabilization in switched stochastic dynamical networks. Nonlinearity 22, 889–911 (2009)
Huang, T., Chen, G., Kurth, J.: Synchronization of chaotic systems with time-varying coupling delays. Discrete and Continuous Dynamical Systems – Series B 16, 1071–1082 (2011)
Huang, T., Li, C., Gao, D., Xiao, M.: Anticipating synchronization through optimal feedback control. Journal of Global Optimization 52, 281–290 (2012)
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Li, C., Gao, D.Y., Liu, C. (2012). Impulsive Synchronization of State Delayed Discrete Complex Networks with Switching Topology. In: Huang, T., Zeng, Z., Li, C., Leung, C.S. (eds) Neural Information Processing. ICONIP 2012. Lecture Notes in Computer Science, vol 7665. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34487-9_7
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DOI: https://doi.org/10.1007/978-3-642-34487-9_7
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