Synchronisation between two different networks with multi-weights and its application in public traffic network

Synchronization and Control for Multi-Weighted and Directed Complex Networks

“…Remark 2. More accurate estimation may be obtained in (8) by using different norms and inequalities, interested readers are encouraged to improve this estimation result (9).…”

“…With the relaxation of NLEVec ξ to vector θ satisfying condition (9), we can use this θ to investigate the synchronization for directed CNMWs.…”

“…[7] and [8] took the public traffic network as a CNMWs, where each single weight represents a transportation type, like railway, highway, airplane, and so on, then investigated its synchronization. [9] formed a two-layer-coupled public bus and subway traffic CNMWs, and studied its synchronization control problem. [10] investigated the synchronization for a network with multiple time delays.…”

Synchronization of stochastic multiple weighted coupled networks with Markovian switching

“…Remark 3 The related results in the literature are divided into two parts: one is mainly about the synchronization of complex networks with multiple weights but without stochastic perturbations [31][32][33][34]36], whereas the other part is about the synchronization of stochastic complex networks with single weight [12,26]. Only few papers investigated the synchronization of stochastic multiple complex networks with white noise or Lévy noise [22,29,35,46].…”

“…Therefore it is necessary and interesting to investigate the synchronization of multi-weighted coupled networks [22,[30][31][32][33]. This investigation has wide applications in many fields such as public traffic network and Chua's circuits [32,34,35]. For example, in [32] the authors modeled public traffic network as a complex network with triplet weights, that is, the departing frequency, the passenger flow density, and the coefficient of bus line length.…”