title: Generalized synchronization of complex dynamical networks via impulsive control.
abstract: This paper investigates the generalized synchronization (GS) of two typical complex dynamical networks, small-world networks and scale-free networks, in terms of impulsive control strategy. By applying the auxiliary-system approach to networks, we demonstrate theoretically that for any given coupling strength, GS can take place in complex dynamical networks consisting of nonidentical systems. Particularly, for Barabasi-Albert scale-free networks, we look into the relations between GS error and topological parameter m, which denotes the number of edges linking to a new node at each time step, and find out that GS speeds up with increasing m. And for Newman-Watts small-world networks, the time needed to achieve GS decreases as the probability of adding random edges increases. We further reveal how node dynamics affects GS speed on both small-world and scale-free networks. Finally, we analyze how the development of GS depends on impulsive control gains. Some abnormal but interesting phenomena regarding the GS process are also found in simulations.
authors.affiliation: School of Mathematics and Statistics, Wuhan University, Hubei 430072, China.
authors.forename: Juan
authors.initials: J
authors.lastname: Chen
authors.forename: Jun-An
authors.initials: JA
authors.lastname: Lu
authors.forename: Xiaoqun
authors.initials: X
authors.lastname: Wu
authors.forename: Wei Xing
authors.initials: WX
authors.lastname: Zheng
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D005246:Feedback; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*