Paper Info
Title
A New Condition For Convergence In Continuous-Time Consensus Seeking Systems
Abstract
We consider continuous-time consensus seeking systems whose time-dependent interactions are cut-balanced, in the following sense: if a group of agents influences the remaining ones, the former group is also influenced by the remaining ones by at least a proportional amount. Models involving symmetric interconnections and models in which a weighted average of the agent values is conserved are special cases. We present a result guaranteeing the convergence of every cut-balanced system, and giving a sufficient condition on the evolving interaction topology for the limit values of two agents to be the same. This condition is also necessary up to a zero-measure subset of the initial conditions. Using the fact that our convergence requires no additional condition, we show that it also applies to systems where the agent connectivity and interactions are random, or endogenous, that is, determined by the agent values. We also derive corresponding results for discrete-time systems.
Year
DOI
Venue
2011
10.1109/CDC.2011.6160231
2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC)
Keywords
Field
DocType
nonlinear system,vectors,topology,multi agent systems,random processes,nonlinear systems,linear system,initial condition,random process,integral equations,convergence,integral equation,linear systems
Convergence (routing),Mathematical optimization,Nonlinear system,Linear system,Control theory,Computer science,Integral equation,Stochastic process,Multi-agent system,Weighted arithmetic mean
Conference
ISSN
Citations 
PageRank 
0743-1546
11
0.74
References 
Authors
17
2
Name
Order
Citations
PageRank
Julien M. Hendrickx177277.11
John N. Tsitsiklis25300621.34