Structure identification of unknown complex-variable dynamical networks with complex coupling

Topology identification of multi‐weighted complex networks based on adaptive synchronization: A graph‐theoretic approach

“…Obviously, (, A (k) ), k = 1, 2, 3 are not strongly connected, but (, (D i ) 6×6 ) is strongly connected. That is to say, we do not need strong connectedness of each subnetwork (, A (k) ) (k = 1, 2, 3) to ensure the synchronization of drive-response networks (17) and (18). Figure 3 shows the identification of coupling configuration matrices A (k) , k = 1, 2, 3.…”

“…Figure 4 shows some sample path of synchronization error for drive-response networks (17) and (18). Figure 5 shows some sample path of drive-response networks (17) and (18). Figure 6 shows feedback gains d i varying with time t in both cases, with or without delay.…”

“…Sample path of synchronization error for drive-response networks (17) and (18) [Colour figure can be viewed at wileyonlinelibrary.com]…”

“…For instance, when a big malfunction occurs in some networks such as power network and communication network, we need to quickly find the location of malfunction line 1 . In recent years, more and more scholars have realized the necessity of network topology identification and obtained a lot of research results 18‐23 …”

“…Till now, existing studies are mainly about the topology identification of single‐weighted complex networks by compressive sensing, 24 adaptive tracking, 18‐20,22 or other methods. Few papers have studied the topology identification of MWCN 25,26 .…”