A poset framework to model decentralized control problems
Author(s)Shah, Parikshit; Parrilo, Pablo A.
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In a previous paper, these authors showed that posets provide a useful modeling framework for a reasonably large class of decentralized control problems. In this paper we show more connections between posets and decentralized control. Firstly, we show that previously known results about systems with time delays follow naturally using the poset framework. We also mention extensions of this to infinite-dimensional spatio-temporal systems. Secondly, we study conditions under which the properly known as quadratic invariance and poset structure are equivalent. Through this paper, we hope to convince the reader of the important role that posets seem to play in much of the current theory of decentralized control.
DepartmentMassachusetts Institute of Technology. Department of Electrical Engineering and Computer Science; Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009.
Institute of Electrical and Electronics Engineers
Shah, P., and P.A. Parrilo. “A poset framework to model decentralized control problems.” Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on. 2009. 972-977. © Copyright 2009 IEEE
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INSPEC Accession Number: 11149318