Abstract
Recently, there has been a growing interest in the study of synchronization of complex dynamical networks.
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References
Wang XF, Chen GR. Synchronization in scale-free dynamical networks: robustness and fragility. IEEE Trans Circuit Syst I Fundam Theory Appl. 2002;49(1):54–62.
Wu CW. Synchronization in networks of nonlinear dynamical systems coupled via a directed graph. Nonlinearity 2005;18(3):1057–1064.
Lü JH, Yu XH, Chen GR. Chaos synchronization of general complex dynamical networks. Phys A Statist Mech Appl. 2004;334(1–2):281–302.
Chen GR, Zhou J, Liu ZR. Global synchronization of coupled delayed neural networks and applications to chaotic CNN models. Int J Bifur Chaos 2004;14(7):2229–2240.
Cao JD, Li P, Wang WW. Global synchronization in arrays of delayed neural networks with constant and delayed coupling. Phys Lett A 2006;353(4):318–325.
Chen MY. Some simple synchronization criteria for complex dynamical networks. IEEE Trans Circuit Syst.-II 2006;53(11):1185–1189.
Lu JQ, Cao JD. Adaptive synchronization in tree-like dynamical networks. Nonlinear Analy Real World Appl. 2007;8(4):1252–1260.
Yu WW, Cao JD, Lü JH. Global synchronization of linearly hybrid coupled networks with time-varying delay. SIAM J Appl Dyn Syst. 2008;7(1):108–133.
Li Z. Exponential stability of synchronization in asymmetrically coupled dynamical networks. Chaos 2008;18(2):023124.
Wu CW, Chua LO. Synchronization in an array of linearly coupled dynamical systems. IEEE Trans Circuit Syst I Fundam Theory Appl. 1995;42(8):430–447.
Lü JH, Yu XH, Chen GR, Cheng DZ. Characterizing the synchronizability of small-world dynamical networks. IEEE Trans Circuit Syst I Regular Papers 2004;51(4):787–796.
Horn RA, Johnson CR. Matrix analysis. Cambridge: Cambridge University Press; 1985.
Wang Y, Wang ZD, Liang JL. A delay fractioning approach to global synchronization of delayed complex networks with stochastic disturbances. Phys Lett A 2008;372(39):6066–6073.
Mou SS, Gao HJ, Qiang WY, Chen K. New delay-dependent exponential stability for neural networks with time delay. IEEE Trans Syst Man Cyber Part B-Cyber. 2008;38(2):571–576.
Boyd S, Ghaoui LE, Feron E, Balakrishnana V. Linear matrix inequalities in system and control theory. Philadelphia: SIAM; 1994.
Camiz S, Stefani S. Matrices and graphs: theory and applications to economics. Singapore: World Scientific; 1996.
Lu WL, Chen TP. New approach to synchronization analysis of linearly coupled ordinary differential systems. Phys D Nonlinear Phenomena 2006;213(2):214–230.
Chen TP, Liu XW, Lu WL. Pinning complex networks by a single controller. IEEE Trans Circuit Syst I Regular Papers 2007;54(6):1317–1326.
Gilli M. Strange attractors in delayed cellular neural networks. IEEE Trans Circuit Syst I Fundam Theory Appl. 1993;40(11):849–853.
Barabasi AL, Albert R. Emergence of scaling in random networks. Science 1999;286(5439):509–512.
Nishikawa T, Motter AE, Lai YC, Hoppensteadt FC. Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize? Phys Rev Lett. 2003;91(1):014101.
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Lu, J., Li, L., Ho, D.W.C., Cao, J. (2021). Globally Exponential Synchronization and Synchronizability for General Dynamical Networks. In: Collective Behavior in Complex Networked Systems under Imperfect Communication. Springer, Singapore. https://doi.org/10.1007/978-981-16-1506-1_8
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DOI: https://doi.org/10.1007/978-981-16-1506-1_8
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