Lyapunov Function Synthesis - Algorithm and Software

Tobias Leth; Christoffer Sloth; Rafal Wisniewski

doi:10.1109/CACSD.2016.7602539

Lyapunov Function Synthesis - Algorithm and Software

Tobias Leth, Christoffer Sloth, Rafal Wisniewski

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

2 Citationer (Scopus)

Abstrakt

In this paper we introduce an algorithm for the
synthesis of polynomial Lyapunov functions for polynomial
vector fields. The Lyapunov function is a continuous piecewisepolynomial
defined on simplices, which compose a collection
of simplices. The algorithm is elaborated and crucial features
are explained in detail. The strengths and weaknesses of the
algorithm are exemplified and a new way of sub-dividing the
simplices is presented.

Originalsprog	Engelsk
Titel	Computer Aided Control System Design (CACSD), 2016 IEEE Conference on
Antal sider	7
Forlag	IEEE
Publikationsdato	19 sep. 2016
Sider	641-647
ISBN (Elektronisk)	978-1-5090-0759-2
DOI	https://doi.org/10.1109/CACSD.2016.7602539
Status	Udgivet - 19 sep. 2016
Begivenhed	IEEE Multi-Conference on Systems and Control 2016 - Buenos Aires, Argentina Varighed: 19 sep. 2016 → 22 sep. 2016 http://www.msc2016.org/

Konference

Konference	IEEE Multi-Conference on Systems and Control 2016
Land/Område	Argentina
By	Buenos Aires
Periode	19/09/2016 → 22/09/2016
Internetadresse	http://www.msc2016.org/

Adgang til dokumentet

10.1109/CACSD.2016.7602539

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 = "Lyapunov Function Synthesis - Algorithm and Software",

abstract = "In this paper we introduce an algorithm for thesynthesis of polynomial Lyapunov functions for polynomialvector fields. The Lyapunov function is a continuous piecewisepolynomialdefined on simplices, which compose a collectionof simplices. The algorithm is elaborated and crucial featuresare explained in detail. The strengths and weaknesses of thealgorithm are exemplified and a new way of sub-dividing thesimplices is presented.",

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

year = "2016",

month = sep,

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doi = "10.1109/CACSD.2016.7602539",

language = "English",

pages = "641--647",

booktitle = "Computer Aided Control System Design (CACSD), 2016 IEEE Conference on",

publisher = "IEEE",

address = "United States",

note = "IEEE Multi-Conference on Systems and Control 2016, MSC 2016 ; Conference date: 19-09-2016 Through 22-09-2016",

url = "http://www.msc2016.org/",

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AU - Leth, Tobias

AU - Sloth, Christoffer

AU - Wisniewski, Rafal

PY - 2016/9/19

Y1 - 2016/9/19

N2 - In this paper we introduce an algorithm for thesynthesis of polynomial Lyapunov functions for polynomialvector fields. The Lyapunov function is a continuous piecewisepolynomialdefined on simplices, which compose a collectionof simplices. The algorithm is elaborated and crucial featuresare explained in detail. The strengths and weaknesses of thealgorithm are exemplified and a new way of sub-dividing thesimplices is presented.

AB - In this paper we introduce an algorithm for thesynthesis of polynomial Lyapunov functions for polynomialvector fields. The Lyapunov function is a continuous piecewisepolynomialdefined on simplices, which compose a collectionof simplices. The algorithm is elaborated and crucial featuresare explained in detail. The strengths and weaknesses of thealgorithm are exemplified and a new way of sub-dividing thesimplices is presented.

U2 - 10.1109/CACSD.2016.7602539

DO - 10.1109/CACSD.2016.7602539

M3 - Article in proceeding

SP - 641

EP - 647

BT - Computer Aided Control System Design (CACSD), 2016 IEEE Conference on

PB - IEEE

T2 - IEEE Multi-Conference on Systems and Control 2016

Y2 - 19 September 2016 through 22 September 2016

ER -

Lyapunov Function Synthesis - Algorithm and Software

Abstrakt

Konference

Adgang til dokumentet

AUB Link

Projekter

CodeMe: CodeMe - Computer Aided Design Methods for Industrial Automation

Citationsformater