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Stability analysis of multiple state-based schedulers with CSMA
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-7228-0249
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0003-1835-2963
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-9940-5929
2012 (English)In: 2012 IEEE 51st Annual Conference on Decision and Control (CDC), IEEE conference proceedings, 2012, 7205-7211 p.Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we identify sufficient conditions for Lyapunov Mean Square Stability (LMSS) of a contention-based network of first-order systems, with state-based schedulers. The stability analysis helps us to choose policies for adapting the scheduler threshold to the delay from the network and scheduler. We show that three scheduling laws can result in LMSS: constant-probability laws and additively increasing or decreasing probability laws. Our results counter the notions that increasing probability scheduling laws alone can guarantee stability of the closed-loop system, or that decreasing probability scheduling laws are required to mitigate congestion in the network.

Place, publisher, year, edition, pages
IEEE conference proceedings, 2012. 7205-7211 p.
Series
IEEE Conference on Decision and Control. Proceedings, ISSN 0191-2216
Keyword [en]
Closed loop systems, Customer relationship management, Delay, Estimation error, Markov processes, Stability analysis, Steady-state
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-111461DOI: 10.1109/CDC.2012.6426068ISI: 000327200407072Scopus ID: 2-s2.0-84874234336ISBN: 978-1-4673-2064-1 (print)OAI: oai:DiVA.org:kth-111461DiVA: diva2:586449
Conference
51st IEEE Conference on Decision and Control, CDC 2012; Maui, HI; United States; 10 December 2012 through 13 December 2012
Funder
ICT - The Next Generation
Note

QC 20130116

Available from: 2013-02-15 Created: 2013-01-11 Last updated: 2013-12-19Bibliographically approved

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fulltext(840 kB)134 downloads
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Ramesh, ChithrupaSandberg, HenrikJohansson, Karl Henrik
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