Pinning synchronization for nonlinear multi-agent system via edge betweenness centrality

Abstract

To control the set of agent systems, constructing multi-agent systems (MASs) is one of the well-known methods of past research. By the nearest neighbor rules, graph theory, and other consensus criteria, the MASs have been studied in many engineering fields. On the other hand, not only engineering but also the humanities and social fields have interested in MASs. Especially for expressing the social groups and their connection, the directed or undirected weighted network structures and the graph theories have been selected. In humanities and social fields, the betweenness centrality theory is applied to investigating the ordering of important groups or locals. This theory can affect the MASs in engineering fields. And the global synchronization with low-dimensional pinning criteria with the appropriate feedback gains is considered a goal of MASs control. Thus, this paper presents the comparison of edge betweenness centrality with the low-dimensional pinning synchronization criteria in nonlinear MASs.