On the existence of polynomial Lyapunov functions for rationally stable vector fields

Tobias Leth, Rafal Wisniewski, Christoffer Sloth

Publikation: Kapitel i bog/rapport/konference-proceedingKonferencebidrag i proceedingsForskningpeer review

Abstrakt

This paper proves the existence of polynomial Lyapunov functions for rationally stable vector fields. For practical purposes the existence of polynomial Lyapunov functions plays a significant role since polynomial Lyapunov functions can be found algorithmically. The paper extents an existing result on exponentially stable vector fields to the case of rational stability. For asymptotically stable vector fields a known counter example is investigated to exhibit the mechanisms responsible for the inability to extend the result further.

OriginalsprogEngelsk
TitelProceedings of the 2017 IEEE 56th Annual Conference on Decision and Control
ForlagIEEE
Publikationsdato23. jan. 2018
Sider4884-4889
ISBN (Trykt)978-1-5090-2874-0
ISBN (Elektronisk)978-1-5090-2873-3, 978-1-5090-2872-6
DOI
StatusUdgivet - 23. jan. 2018
Udgivet eksterntJa
Begivenhed56th IEEE Annual Conference on Decision and Control - Melbourne, Australien
Varighed: 12. dec. 201715. dec. 2017

Konference

Konference56th IEEE Annual Conference on Decision and Control
Land/OmrådeAustralien
ByMelbourne
Periode12/12/201715/12/2017
SponsorANCA Motion, City of Melbourne, University of Melbourne, University of Newcastle , United Technologies Research Center (UTRC)

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