Pinning synchronization of delayed dynamical networks via periodically intermittent control

Abstract

This paper investigates the synchronization problem for a class of complex delayed dynamical networks by pinning periodically intermittent control. Based on a general model of complex delayed dynamical networks, using the Lyapunov stability theory and periodically intermittent control method, some simple criteria are derived for the synchronization of such dynamical networks. Furthermore, a Barabasi-Albert network consisting of coupled delayed Chua oscillators is finally given as an example to verify the effectiveness of the theoretical results.

On Synchronization of Pinning-Controlled Networks with Reducible and Asymmetric Coupling Matrix

“…Besides, [9] showed the number of node which should be pinned in a complex network in order to reach synchronization. It can be seen that in [13][14][15][16][17] that pinning adaptive method is very effective for solving synchronization of complex networks. In [16], the authors investigated the synchronization of nonlinearly coupled networks through an innovative local adaptive approach.…”

Drive network to a desired orbit by pinning control

“…And later on, Yu et al [36] concerned with pinning performance of complex dynamical network. Other research works about pinning control of complex networks can be seen in [8,12,17,22,23,24,26,30,31,32,33,34,35,40,41] and many references cited therein.…”

“…To reduce the number of controlled nodes, some feedback injections have been added to a fraction of network nodes, which is known as pinning control. As a result, some researchers have focused on the investigations different pinning control strategies for various complex dynamical networks [5,8,10,14,22,23,24,25,26,29,30,31,32,33,34,35,36,39]. For example, Wang and Chen [29] revealed that, it is much more effective to pin some most-highly connected nodes than to pin randomly selected nodes since the extremely inhomogeneous connectivity distribution of scale-free networks.…”

Finite-time synchronization of drive-response systems via periodically intermittent adaptive control

“…Recently, most of the current researches were primarily concerned with asymptotical or exponential synchronization of networks via intermittent control [29][30][31]. This indicates that the intermittent control can derive the slave system to synchronization the master system after the infinite horizon.…”

“…Many effective control methods including adaptive control [8][9][10][11][12][13][14], feedback control [15][16][17][18], observer control [19][20], pinning control [21][22][23], impulsive control [24][25][26][27][28] and intermittent control [29][30][31][32][33][34][35][36][37] have been proposed to drive the network to achieve synchronization. Among these control approaches, the discontinuous control methods which include impulsive control and intermittent control have attracted much interest due to its practical and easy implementation in engineering fields.…”