Lyapunov function synthesis - Algorithm and software

Tobias Leth, Christoffer Sloth, Rafalł Wisniewski

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

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 languageEnglish
Title of host publicationProceedings of the 2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Part of 2016 IEEE Multi-Conference on Systems and Control
Number of pages7
Volume2016-October
PublisherIEEE
Publication date2016
Pages641-647
Article number7602539
ISBN (Electronic)9781509007592
DOIs
Publication statusPublished - 2016
Externally publishedYes
Event2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Buenos Aires, Argentina
Duration: 19. Sep 201622. Sep 2016

Conference

Conference2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016
Country/TerritoryArgentina
CityBuenos Aires
Period19/09/201622/09/2016

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