On Pinning Synchronization of Directed and Undirected Complex Dynamical Networks

Hybrid Adaptive Pinning Control for Function Projective Synchronization of Delayed Neural Networks with Mixed Uncertain Couplings

“…It is a competent and useful strategy especially for the large size networks. The pinning synchronization of neural networks has been generally examined at the present [25][26][27][28][29][30][31][32][33]. Meanwhile, various selection rules of pinned nodes have been introduced in the existing literatures.…”

“…Meanwhile, various selection rules of pinned nodes have been introduced in the existing literatures. The pinned nodes selection rules according to the out-degree and in-degree of the nodes and the synchronization problem were studied for undirected and directed networks which was presented in [25,26,34]. The pinning control problem of neural networks was considered and then some unexceptional pinning conditions were found out [27][28][29], while Chen et al [35] expressed that, even applying one single pinned node, the whole networks could be controlled as long as the coupling strength was large enough.…”

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

“…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.…”

Drive network to a desired orbit by pinning control

“…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.…”