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Title An algorithm with low computational requirements to constrain the Shapley value in coalitional networks
Authors MUROS, FRANCISCO JAVIER, Maestre J.M. , Algaba E. , Alamo T. , Camacho E.F.
External publication Si
Means 2015 23rd Mediterranean Conference On Control And Automation (med)
Scope Conference Paper
Nature Científica
Web https://www.scopus.com/inward/record.uri?eid=2-s2.0-84945916446&doi=10.1109%2fMED.2015.7158900&partnerID=40&md5=6e3195e61ee168fb6fabdf4899246248
Publication date 01/01/2015
ISI 000375056800167
Scopus Id 2-s2.0-84945916446
DOI 10.1109/MED.2015.7158900
Abstract In this paper, we deal with a distributed control scheme for linear systems in which the local controllers work cooperatively whenever the benefits from a control perspective are higher than the corresponding communication requirements. To this end, the network topology may vary with time so that all the communication links with a minor contribution to the overall performance are disconnected. Hence, there is also a change in the overall control law, which must be adapted to the information flows enabled by the network topology. This whole framework can be modeled as a cooperative game, which allows us to apply tools such as the Shapley value to gain an insight into the distributed control problem. In particular, we show an alternative way to impose restrictions on this value by using a more computationally efficient design procedure. © 2015 IEEE.
Keywords Algorithms; Computation theory; Distributed parameter control systems; Linear matrix inequalities; Linear systems; Topology; Computational requirements; Computationally efficient; Control perspective; Cooperative game theory; Distributed control problems; Distributed control schemes; Local controllers; Shapley value; Game theory
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