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Stability analysis of discrete-time systems with poisson-distributed delays
KTH, School of Electrical Engineering (EES), Automatic Control.
2016 (English)In: Proceedings of the IEEE Conference on Decision and Control, IEEE conference proceedings, 2016, 7736-7741 p.Conference paper (Refereed)Text
Abstract [en]

This paper is concerned with the stability analysis of linear discrete-time systems with poisson-distributed delays. Firstly, the exponential stability condition of system with poisson-distributed delays is derived when the corresponding system with the zero-delay or the system without the delayed term is asymptotically stable. Then, an augmented Lyapunov functional is suggested to handle the case that the corresponding system without the delay as well as the system without the delayed term are not necessary to be asymptotically stable. Furthermore, we show that the results can be further improved by formulating the system as a higher-order augmented one and applying the corresponding augmented Lyapunov functional. Finally, the efficiency of the proposed results is illustrated by some numerical examples.

Place, publisher, year, edition, pages
IEEE conference proceedings, 2016. 7736-7741 p.
Keyword [en]
Infinite delays, Lyapunov method, poisson-distributed delays, stabilizing delays
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-188270DOI: 10.1109/CDC.2015.7403442ScopusID: 2-s2.0-84962022232ISBN: 9781479978861OAI: diva2:937333
54th IEEE Conference on Decision and Control, CDC 2015, 15 December 2015 through 18 December 2015

QC 20160615

Available from: 2016-06-15 Created: 2016-06-09 Last updated: 2016-06-15Bibliographically approved

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Johansson, Karl Henrik
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