Delay-independent stability of cone-invariant monotone systems

Hamid Reza Feyzmahdavian, Themistoklis Charalambous, Mikael Johansson

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

Abstract

Recent results in the literature have shown that particular classes of positive systems are insensitive to time-varying delays, giving the impression that the delay-insensitivity property stems from the fact that the system is positive. Nonetheless, it has been lately shown that a linear cone-invariant system is insensitive to time-varying delays, asserting that the property of delay-independence may stem from the fact that the system is cone-invariant rather than positive. In this paper, we provide additional evidence for this claim by analyzing the stability of cone-invariant monotone systems with bounded time-varying delays. We present a set of sufficient conditions for delay independent stability of discrete- and continuous-time cone-invariant monotone systems. For linear cone-invariant systems, we show that the stability conditions we have derived are also necessary.

Original languageEnglish
Title of host publication2015 54th IEEE Conference on Decision and Control, CDC 2015
PublisherIEEE
Pages6361-6366
Number of pages6
Volume2016-February
ISBN (Electronic)9781479978861
DOIs
Publication statusPublished - 8 Feb 2016
MoE publication typeA4 Article in a conference publication
EventIEEE Conference on Decision and Control - Osaka, Japan
Duration: 15 Dec 201518 Dec 2015
Conference number: 54

Conference

ConferenceIEEE Conference on Decision and Control
Abbreviated titleCDC
CountryJapan
CityOsaka
Period15/12/201518/12/2015

Keywords

  • Asymptotic stability
  • Delays
  • Stability analysis
  • Thermal stability
  • Time-varying systems
  • Trajectory
  • Wireless networks

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  • Cite this

    Feyzmahdavian, H. R., Charalambous, T., & Johansson, M. (2016). Delay-independent stability of cone-invariant monotone systems. In 2015 54th IEEE Conference on Decision and Control, CDC 2015 (Vol. 2016-February, pp. 6361-6366). [7403221] IEEE. https://doi.org/10.1109/CDC.2015.7403221