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

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Title of host publication	Computer Aided Control System Design (CACSD), 2016 IEEE Conference on
Number of pages	7
Publisher	IEEE
Publication date	19 Sept 2016
Pages	641-647
ISBN (Electronic)	978-1-5090-0759-2
DOIs	https://doi.org/10.1109/CACSD.2016.7602539
Publication status	Published - 19 Sept 2016
Event	IEEE Multi-Conference on Systems and Control 2016 - Buenos Aires, Argentina Duration: 19 Sept 2016 → 22 Sept 2016 http://www.msc2016.org/

Conference

Conference	IEEE Multi-Conference on Systems and Control 2016
Country/Territory	Argentina
City	Buenos Aires
Period	19/09/2016 → 22/09/2016
Internet address	http://www.msc2016.org/

Access to Document

10.1109/CACSD.2016.7602539

AUB Link

Search for the material in Aalborg University Library's search engine

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

Cite this

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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.",

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doi = "10.1109/CACSD.2016.7602539",

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AU - Sloth, Christoffer

AU - Wisniewski, Rafal

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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

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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

Abstract

Conference

Access to Document

AUB Link

Projects

CodeMe: CodeMe - Computer Aided Design Methods for Industrial Automation

Cite this