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On the rate of convergence of continuous-time linear positive systems with heterogeneous time-varying delays
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
2013 (English)In: 2013 European Control Conference, ECC 2013, IEEE conference proceedings, 2013, 3372-3377 p.Conference paper, Published paper (Refereed)
Abstract [en]

In this work, a set of conditions are presented for establishing exponential stability and bounds on the convergence rates of both general and positive linear systems with heterogeneous time-varying delays. First, a sufficient condition for delay-independent exponential stability of general linear systems is derived. When the time delays have a known upper bound, we present an explicit expression that bounds the decay rate of the system. We demonstrate that the best decay rate that our bound can guarantee can be easily found via convex optimization techniques. Finally, for positive linear systems, we show that the stability condition that we have developed is also necessary. The validity of the results is demonstrated via numerical examples.

Place, publisher, year, edition, pages
IEEE conference proceedings, 2013. 3372-3377 p.
Keyword [en]
Convergence rates, Convex optimization techniques, Delay independent, Positive linear systems, Positive systems, Rate of convergence, Stability condition, Time-varying delay
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-136165ISI: 000332509703127Scopus ID: 2-s2.0-84893272021ISBN: 978-303303962-9 (print)OAI: oai:DiVA.org:kth-136165DiVA: diva2:675497
Conference
2013 12th European Control Conference, ECC 2013; Zurich; Switzerland; 17 July 2013 through 19 July 2013
Note

QC 20140103

Available from: 2013-12-04 Created: 2013-12-04 Last updated: 2014-04-24Bibliographically approved

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CiteExportLink to record
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Cite
Citation style
  • apa
  • harvard1
  • ieee
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More styles
Language
  • de-DE
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  • Other locale
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Output format
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