A poset framework to model decentralized control problems
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...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Institute of Electrical and Electronics Engineers
2010
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| Online Access: | http://hdl.handle.net/1721.1/60325 https://orcid.org/0000-0003-1132-8477 |
| _version_ | 1826200173038010368 |
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| author | Shah, Parikshit Parrilo, Pablo A. |
| author2 | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
| author_facet | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Shah, Parikshit Parrilo, Pablo A. |
| author_sort | Shah, Parikshit |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T11:32:17Z |
| format | Article |
| id | mit-1721.1/60325 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:32:17Z |
| publishDate | 2010 |
| publisher | Institute of Electrical and Electronics Engineers |
| record_format | dspace |
| spelling | mit-1721.1/603252022-10-01T04:17:16Z A poset framework to model decentralized control problems Shah, Parikshit Parrilo, Pablo A. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology. Laboratory for Information and Decision Systems Parrilo, Pablo A. Shah, Parikshit Parrilo, Pablo A. 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. United States. Air Force Office of Scientific Research (MURI 2003-07688-1) 2010-12-20T15:50:31Z 2010-12-20T15:50:31Z 2010-01 2009-12 Article http://purl.org/eprint/type/ConferencePaper 978-1-4244-3871-6 0191-2216 INSPEC Accession Number: 11149318 http://hdl.handle.net/1721.1/60325 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 https://orcid.org/0000-0003-1132-8477 en_US http://dx.doi.org/10.1109/CDC.2009.5400464 Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Institute of Electrical and Electronics Engineers IEEE |
| spellingShingle | Shah, Parikshit Parrilo, Pablo A. A poset framework to model decentralized control problems |
| title | A poset framework to model decentralized control problems |
| title_full | A poset framework to model decentralized control problems |
| title_fullStr | A poset framework to model decentralized control problems |
| title_full_unstemmed | A poset framework to model decentralized control problems |
| title_short | A poset framework to model decentralized control problems |
| title_sort | poset framework to model decentralized control problems |
| url | http://hdl.handle.net/1721.1/60325 https://orcid.org/0000-0003-1132-8477 |
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