About disconnected topology and cluster consensus∗. Issue 11 (2015)

• Record Type: Journal Article
• Authors: Casadei, Giacomo; Persis, Claudio De; Marconi, Lorenzo
• Is Part Of: IFAC-PapersOnLine. Volume 48:Issue 11(2015)
• Page Start: 521
• Page End: 526
• Publication Date: 2015
• Subjects: Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2015.09.239
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: In this paper we analyze the problem of consensus of homogeneous nonlinear agents in case of disconnected topology. Specifically, we look for diffusive coupling strategies able to enforce the so-called cluster consensus within the networked agents. In order to avoid instability of a certain group of agents (referred to as residual agents) not belonging to connected components, we modify the conventional diffuse coupling by means of a time dependent strategy clustering the graph in the minimum number of connected components within which all the agents reach a consensus. Suficient conditions for achieving cluster consensus are obtained by means of Lyapunov tools. Simulation results are also presented.