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Zhang, Qunjiao; Lu, Jun-An; Zhao, Junchan

Impulsive synchronization of general continuous and discrete-time complex dynamical networks. (English) Zbl 1221.93107

Commun. Nonlinear Sci. Numer. Simul. 15, No. 4, 1063-1070 (2010).
Summary: We mainly investigate the impulsive synchronization of a general complex continuous and discrete-time dynamical network. Firstly, for the continuous complex networks, we give a sufficient condition to guarantee its synchronization. When the sufficient condition is not satisfied, the impulsive controllers are utilized, and some novel criteria are derived to guarantee the network synchronization in this case. What is more significant is that the similar work is extended to the discrete-time networks model. Finally, the results are, respectively, illustrated by a continuous network composed with the chaotic Chen oscillators and a discrete-time network consisting of Hénon map. All numerical simulations verify the effectiveness of the theoretical analysis.

Cited in 27 Documents

MSC:

93C15 Control/observation systems governed by ordinary differential equations
37N35 Dynamical systems in control
34D06 Synchronization of solutions to ordinary differential equations
34A33 Ordinary lattice differential equations

Keywords:

impulsive synchronization; dynamical networks; continuous; discrete-time; Chen system; hénon map
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\textit{Q. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 4, 1063--1070 (2010; Zbl 1221.93107)
Full Text: DOI

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