Synchronization analysis of complex networks with multi-weights and its application in public traffic network

Event-based exponential synchronization of complex networks

“…It is noteworthy that the communications between nodes in Zhang et al (c, d 2015a, b), Reyes and Tanner (2015), Olfati-Saber and Murray (2004), Das and Ghose (2015), An et al (2014), Dörfler and Bullo (2014), Yu et al (2009aYu et al ( , b, 2013a; and are continuous. The continuous communications have an obvious insurmountable deficiency: the designed control law requires real-time updates, which promotes network nodes to be equipped with high performance processors and high-speed communication channels.…”

“…A complex network is a large set of interconnected nodes, where the nodes and connections can be anything, examples are internet, transportation networks, coupled biological and chemical engineering systems, neural networks in human brains and so on. The synchronization is one of the most important dynamical properties of complex networks (Zhang et al 2011(Zhang et al , 2013a(Zhang et al , b, c, d, 2014a(Zhang et al , 2015aBalasubramaniam and Jarina 2014;Alofi et al 2015;Reyes and Tanner 2015;Das and Ghose 2015;Olfati-Saber and Murray 2004;An et al 2014;Dörfler and Bullo 2014;Yu et al 2009aYu et al , b, 2013a. In essence, synchronization is a form of self-organization.…”

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

“…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.…”

“…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. Qiu et al [12] investigated synchronization and ∞ synchronization of multiweighted complex delayed dynamical networks with fixed and switching topologies.…”

“…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.…”