On the Existence of Polynomial Lyapunov Functions for Rationally Stable Vector Fields

Tobias Leth; Rafal Wisniewski; Christoffer Sloth

doi:10.1109/CDC.2017.8264381

On the Existence of Polynomial Lyapunov Functions for Rationally Stable Vector Fields

Tobias Leth, Rafal Wisniewski, Christoffer Sloth

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

3 Citationer (Scopus)

Abstract

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

Originalsprog	Engelsk
Titel	2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
Antal sider	6
Vol/bind	2018-January
Forlag	IEEE
Publikationsdato	18 jan. 2018
Sider	4884-4889
ISBN (Trykt)	978-1-5090-2874-0
ISBN (Elektronisk)	978-1-5090-2873-3
DOI	https://doi.org/10.1109/CDC.2017.8264381
Status	Udgivet - 18 jan. 2018
Begivenhed	56th IEEE Conference on Decision and Control (CDC) - Melbourne, Australien Varighed: 12 dec. 2017 → 15 dec. 2017

Konference

Konference	56th IEEE Conference on Decision and Control (CDC)
Land/Område	Australien
By	Melbourne
Periode	12/12/2017 → 15/12/2017

Adgang til dokumentet

10.1109/CDC.2017.8264381

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http://www.scopus.com/inward/record.url?scp=85046129332&partnerID=8YFLogxK

Citationsformater

@inproceedings{ecff382d55a04fa6ba101631afe02c18,

title = "On the Existence of Polynomial Lyapunov Functions for Rationally Stable Vector Fields",

abstract = "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",

author = "Tobias Leth and Rafal Wisniewski and Christoffer Sloth",

year = "2018",

month = jan,

day = "18",

doi = "10.1109/CDC.2017.8264381",

language = "English",

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volume = "2018-January",

pages = "4884--4889",

booktitle = "2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017",

publisher = "IEEE",

address = "United States",

note = "56th IEEE Conference on Decision and Control (CDC) ; Conference date: 12-12-2017 Through 15-12-2017",

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On the Existence of Polynomial Lyapunov Functions for Rationally Stable Vector Fields. / Leth, Tobias; Wisniewski, Rafal; Sloth, Christoffer.
2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. Bind 2018-January IEEE, 2018. s. 4884-4889.

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

TY - GEN

T1 - On the Existence of Polynomial Lyapunov Functions for Rationally Stable Vector Fields

AU - Leth, Tobias

AU - Wisniewski, Rafal

AU - Sloth, Christoffer

PY - 2018/1/18

Y1 - 2018/1/18

N2 - 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

AB - 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

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U2 - 10.1109/CDC.2017.8264381

DO - 10.1109/CDC.2017.8264381

M3 - Article in proceeding

SN - 978-1-5090-2874-0

VL - 2018-January

SP - 4884

EP - 4889

BT - 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017

PB - IEEE

T2 - 56th IEEE Conference on Decision and Control (CDC)

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