Research on urban public traffic network with multi-weights based on single bus transfer junction

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 between Different Networks with Time-Varying Delay and Its Application in Bilayer Coupled Public Traffic Network

“…The meaning of urban public traffic network balance is that there is a dynamic balance between running vehicles and passengers; that is, the running time of public traffic vehicles is closest to preset time (traffic delay is shortest), and meanwhile the retention time of the passengers in traffic stations is shortest [25]. The aim of the study is to investigate the impact of public traffic dispatching, delayed departure, the number of public bus stops between bus lines, and the number of transfer stations between two traffic modes, that is, the impact of coupling strengths 1 , 2 , , time-varying delay ( ), the edge weights of conventional bus traffic network A, the edge weights of urban rail traffic network B, and the weights of external coupling edges on the balance of whole bilayer coupled public traffic network.…”