Adaptive-impulsive projective synchronization of drive-response delayed complex dynamical networks with time-varying coupling

Abstract

This paper investigates the adaptive-impulsive projective synchronization of drive-response delayed complex dynamical networks with time-varying coupling, in which the weights of links between two connected nodes are time varying. By the stability analysis of the impulsive functional differential equation, the sufficient conditions for achieving projective synchronization are obtained, and a hybrid controller, that is, an adaptive feedback controller with impulsive control effects is designed. The numerical examples are presented to illustrate the effectiveness and advantage of the proposed synchronization criteria.

Complex function projective synchronization of general networked chaotic systems by using complex adaptive fuzzy logic

“…According to Lyapunov stability theory, the error dynamics (25) can be asymptotically stable, i.e., lim t→∞ e i (t) = 0. This means that the control law (20)(21)(22) and the adaptation laws (23) can achieve CMFPS of chaotic complex response network (2). This completes the proof.…”

“…Synchronization of coupled chaotic systems is one of typical collective behaviors in complex networked systems due to its practical applications such as biological neural networks and communication security [10,11]. Several types of synchronization have been investigated [12][13][14][15][16][17][18][19][20][21][22][23]. For example, by using the adaptiveimpulsive control, the complete synchronization for a class of chaotic and hyperchaotic systems is investigated [14].…”

Theoretical analysis of synchronization in delayed complex dynamical networks with discontinuous coupling

“…[9][10][11], the effect of noise on the synchronization was analyzed. Due to different applications, a wide variety of approaches and controllers in the network synchronization have been proposed, which include the impulsive control [12,13], pinning control [14,15], adaptive coupling schemes [16,17], open-plus-closedloop scheme [18,19] and the finite-time control [20][21][22].…”

Pinning lag synchronization between two dynamical networks with non-derivative and derivative couplings

“…Many real systems in nature can be described by complex dynamical networks, including internet, World Wide Web, electrical power grids, social networks and so forth [1,2,9,17,10]. Presently synchronization of dynamical networks has been widely studied [6,7,21,24,29,30]. Generally speaking, synchronization appearing inside a network is referred as inner synchronization.…”