Diagonal Lyapunov functions for positive linear time-varying systems

Sei Zhen Khong, Anders Rantzer

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Scopus citations

Abstract

Stable positive linear time-invariant autonomous systems admit diagonal quadratic Lyapunov functions. Such a property is known to be useful in distributed and scalable control of positive systems. In this paper, it is established that the same holds for exponentially stable positive discrete-time and continuous-time linear time-varying systems.

Original languageEnglish (US)
Title of host publication2016 IEEE 55th Conference on Decision and Control, CDC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5269-5274
Number of pages6
ISBN (Electronic)9781509018376
DOIs
StatePublished - Dec 27 2016
Event55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States
Duration: Dec 12 2016Dec 14 2016

Publication series

Name2016 IEEE 55th Conference on Decision and Control, CDC 2016

Other

Other55th IEEE Conference on Decision and Control, CDC 2016
CountryUnited States
CityLas Vegas
Period12/12/1612/14/16

Keywords

  • Lyapunov functions
  • linear time-varying systems
  • positive systems
  • stability

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  • Cite this

    Khong, S. Z., & Rantzer, A. (2016). Diagonal Lyapunov functions for positive linear time-varying systems. In 2016 IEEE 55th Conference on Decision and Control, CDC 2016 (pp. 5269-5274). [7799076] (2016 IEEE 55th Conference on Decision and Control, CDC 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2016.7799076