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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

Syst. Control Lett.

Scope

Article

Nature

Científica

JCR Quartile

SJR Quartile

JCR Impact

2.656

SJR Impact

1.939

Publication date

01/06/2017

ISI

000402946200004

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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