Title
On The Link Between Multi-Coloring Problems For Graphs And Distributed Supervision Of Interconnected Systems
Abstract
In this paper the link between Graph colorability theory and the design of a distributed Command Governor (CG) strategy is investigated. The first link between distributed supervision of systems with constraints and colorability properties was highlighted in a previous work where the idea of Turn-based CG was introduced for dynamically decoupled systems subject to coupling constraints. In this paper we will extend such a scheme to the case of dynamically coupled systems and we will show that the problem of determining the the minimal number of turns along with maximization of the agents appearance in turns is equivalent to a particular graph coloring problem. Such a problem is presented in a formal way and its complexity properties deeply discussed. A final example is presented to illustrate the effectiveness of the proposed strategy.
Year
DOI
Venue
2018
10.23919/ECC.2018.8550497
2018 EUROPEAN CONTROL CONFERENCE (ECC)
Field
DocType
Citations 
Graph,Mathematical optimization,Coupling,Computer science,Governor,Maximization,Graph coloring
Conference
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Alessandro Casavola140042.59
Emanuele Garone232438.77
Francesco Tedesco38215.76