Finite-time synchronization of multi-weighted complex dynamical networks with and without coupling delay

Finite‐Time Synchronization and Synchronization Dynamics Analysis for Two Classes of Markovian Switching Multiweighted Complex Networks from Synchronization Control Rule Viewpoint

“…Actually, the scheme has been adopted in [19]. It is necessary to emphasize that although some classes of multiweighted complex networks have been proposed [11][12][13][14][15][16][17][18][19], these models are liner coupled multiweighted complex networks. Furthermore, in these models, there is no Markovian switching.…”

“…(4) Compared with the existing results about synchronization problems of nonlinear coupled or linear coupled complex networks such as [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16], the work in this paper can further extend the analysis ideas of synchronization problems.…”

“…As a matter of fact, because the connections of many real networks have different weights, such as email networks and public traffic networks, these networks can be modeled by multiweighted complex networks [11][12][13][14][15][16][17][18][19]. Therefore, recently, some works for synchronization problems of multiweighted complex networks began to develop [11][12][13][14][15][16]. For example, in [11], the authors studied synchronization of complex networks with multiweights and its application in public traffic network.…”

“…Furthermore, although the literatures [17][18][19] gave several classes of multiweighted complex networks, they addressed some passivity problems, instead of synchronization issue. From [11][12][13][14][15][16][17][18][19], it is not difficult to find that until now there are still a few literatures to discuss synchronization of multiweighted complex networks. Besides these, it should be noted that, in many engineering areas, there sometimes exist abrupt variations which are often caused by random failures or repairs of the components in systems.…”

Synchronization of Complex Dynamical Networks with Dynamical Behavior Links

“…Remark 4. The controllers (10) and (19) indicate that all nodes in the network need target node information, and although many synchronization methods are such as [5][6][7], this is a limitation to the proposed method. This is because in large networks, depending on the network structure, all nodes may not have access to the target node.…”