Lyapunov Function Synthesis - Algorithm and Software

Tobias Leth, Christoffer Sloth, Rafal Wisniewski

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

2 Citations (Scopus)


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 publicationComputer Aided Control System Design (CACSD), 2016 IEEE Conference on
Number of pages7
Publication date19 Sept 2016
ISBN (Electronic)978-1-5090-0759-2
Publication statusPublished - 19 Sept 2016
EventIEEE Multi-Conference on Systems and Control 2016 - Buenos Aires, Argentina
Duration: 19 Sept 201622 Sept 2016


ConferenceIEEE Multi-Conference on Systems and Control 2016
CityBuenos Aires
Internet address

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