Asymptotic Stability and Decay Rates of Positive Linear Systems with Unbounded Delays
2013 (English)In: Proceedings of the 52nd IEEE Conference on Decision and Control (CDC), IEEE conference proceedings, 2013, 1423-1428 p.Conference paper (Refereed)
There are several results on the stability analysisof positive linear systems in the presence of constant or timevaryingdelays. However, most existing results assume thatthe delays are bounded. This paper studies the stability ofdiscrete-time positive linear systems with unbounded delays.We provide a set of easily verifiable necessary and sufficientconditions for delay-independent stability of positive linearsystems subject to a general class of heterogeneous timevaryingdelays. For two particular classes of unbounded delays,explicit expressions that bound the decay rate of the system arepresented. We demonstrate that the best bound on the decayrate that our results can guarantee can be found via convexoptimization. Finally, the validity of the results is demonstratedvia a numerical example.
Place, publisher, year, edition, pages
IEEE conference proceedings, 2013. 1423-1428 p.
Electrical Engineering, Electronic Engineering, Information Engineering
IdentifiersURN: urn:nbn:se:kth:diva-136172ISI: 000352223501106ScopusID: 2-s2.0-84902353906OAI: oai:DiVA.org:kth-136172DiVA: diva2:675504
52nd IEEE Conference on Decision and Control (CDC) December 10-13, 2013, Florence, Italy
QC 201401032013-12-042013-12-042015-12-08Bibliographically approved