Title The Banzhaf value as a design tool in coalitional control
Authors MUROS, FRANCISCO JAVIER, Algaba, Encarnacion , Maria Maestre, Jose , Camacho, Eduardo F.
External publication Si
Means SYSTEMS & CONTROL LETTERS
Scope Article
Nature Científica
JCR Quartile 1
SJR Quartile 1
JCR Impact 2.656
SJR Impact 1.939
Publication date 01/06/2017
ISI 000402946200004
DOI 10.1016/j.sysconle.2017.03.007
Abstract In this paper, the game theory solution concept known as Banzhaf value is applied to games in coalitional control schemes. In these schemes, the network topology is modified to achieve a trade-off between performance and communication burden. In particular, we show how to design a coalitional scheme with constraints regarding the Banzhaf value. Several similarities and differences of this value with respect to the Shapley value are stated, and the concept of amalgamated game is introduced in coalitional control as a means to relieve the computational burden. Finally, an academic simulation example illustrates the results obtained in this work. (C) 2017 Elsevier B.V. All rights reserved.
Keywords Banzhaf value; Coalitional control; Distributed control; Cooperative game theory; Amalgamated games
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