2014 European Control Conference (ECC) 2014
DOI: 10.1109/ecc.2014.6862574
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Constraints on the shapley value for a coalitional control system

Abstract: We introduce several refinements in the design method of a coalitional control scheme for linear systems recently proposed. In this scheme, the network topology is modified in order to attain a trade-off between communication burden and overall system performance. In particular, all the communication links with low contribution to the overall performance are disconnected. Likewise, the control law is adapted to these changes. Given that the coalitional control scheme can be described as a cooperative game, it … Show more

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Cited by 12 publications
(3 citation statements)
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“…The key idea proposed in [13], [14], [16], [17] is to interpret (9) as the characteristic function of a cooperative game in which the set of interconnections l ∈ E is the set of players. In this context, it is possible to use the pair (E, r v ) to define a cooperative game with transferable utility.…”
Section: B Partitioning Goalmentioning
confidence: 99%
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“…The key idea proposed in [13], [14], [16], [17] is to interpret (9) as the characteristic function of a cooperative game in which the set of interconnections l ∈ E is the set of players. In this context, it is possible to use the pair (E, r v ) to define a cooperative game with transferable utility.…”
Section: B Partitioning Goalmentioning
confidence: 99%
“…Λ are the decision variables, matrix I denotes the identity matrix of suitable dimensions, and (8b) considers the communication constraints imposed by the particular topology Λ (see [16], [17] for further details).…”
Section: B Partitioning Goalmentioning
confidence: 99%
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