Robust Stability of Switched Systems

Christoffer Sloth; Rafael Wisniewski

doi:10.1109/CDC.2014.7040119

Robust Stability of Switched Systems

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

7 Citationer (Scopus)

Abstract

This paper presents a linear programming-based method for finding Lyapunov functions of switched systems with polynomial vector fields and parametric uncertainties. We propose to utilize a certificate of positivity in the Bernstein basis to find a Lyapunov function. A certificate of positivity in the Bernstein basis always exists if a polynomial is positive, and the Bernstein basis is shown to be well conditioned.

Originalsprog	Engelsk
Titel	Decision and Control, 2014 IEEE 53rd Conference on
Antal sider	6
Forlag	IEEE
Publikationsdato	2014
Sider	4685-4690
ISBN (Trykt)	978-1-4799-7746-8
DOI	https://doi.org/10.1109/CDC.2014.7040119
Status	Udgivet - 2014
Begivenhed	2014 IEEE 53rd Annual Conference on Decision and Control (CDC) - Los Angeles, USA Varighed: 15 dec. 2014 → 17 dec. 2014

Konference

Konference	2014 IEEE 53rd Annual Conference on Decision and Control (CDC)
Land/Område	USA
By	Los Angeles
Periode	15/12/2014 → 17/12/2014

Navn	I E E E Conference on Decision and Control. Proceedings
ISSN	0743-1546

Adgang til dokumentet

10.1109/CDC.2014.7040119

AUB Link

Søg efter materialet i Aalborg Universitetsbiblioteks søgemaskine

CodeMe: CodeMe - Computer Aided Design Methods for Industrial Automation
Wisniewski, R. & Sloth, C.
01/08/2014 → 31/10/2018
Projekter: Projekt › Forskning

Citationsformater

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title = "Robust Stability of Switched Systems",

abstract = "This paper presents a linear programming-based method for finding Lyapunov functions of switched systems with polynomial vector fields and parametric uncertainties. We propose to utilize a certificate of positivity in the Bernstein basis to find a Lyapunov function. A certificate of positivity in the Bernstein basis always exists if a polynomial is positive, and the Bernstein basis is shown to be well conditioned.",

author = "Christoffer Sloth and Rafael Wisniewski",

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language = "English",

isbn = "978-1-4799-7746-8",

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AB - This paper presents a linear programming-based method for finding Lyapunov functions of switched systems with polynomial vector fields and parametric uncertainties. We propose to utilize a certificate of positivity in the Bernstein basis to find a Lyapunov function. A certificate of positivity in the Bernstein basis always exists if a polynomial is positive, and the Bernstein basis is shown to be well conditioned.

U2 - 10.1109/CDC.2014.7040119

DO - 10.1109/CDC.2014.7040119

M3 - Article in proceeding

SN - 978-1-4799-7746-8

T3 - I E E E Conference on Decision and Control. Proceedings

SP - 4685

EP - 4690

BT - Decision and Control, 2014 IEEE 53rd Conference on

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T2 - 2014 IEEE 53rd Annual Conference on Decision and Control (CDC)

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Robust Stability of Switched Systems

Abstract

Konference

Adgang til dokumentet

AUB Link

Fingeraftryk

Projekter

CodeMe: CodeMe - Computer Aided Design Methods for Industrial Automation

Citationsformater