Stability verification for energy-aware hydraulic pressure control via simplicial subdivision

Christoffer Sloth, Rafael Wisniewski

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

Abstract

This paper presents a linear programming-based method for finding Lyapunov functions of dynamical systems with polynomial vector fields. We propose to utilize a certificate of positivity in the Bernstein basis based on subdivisioning to find a Lyapunov function. The subdivision-based method is proposed since it has better degree bounds than similar methods based on degree elevation. The proposed method is successfully applied to find a Lyapunov function for a pressure controlled water distribution system.

Original languageEnglish
Title of host publication2015 European Control Conference, ECC 2015
Number of pages6
PublisherIEEE
Publication date16. Nov 2015
Pages2694-2699
Article number7330945
ISBN (Electronic)9783952426937
DOIs
Publication statusPublished - 16. Nov 2015
Externally publishedYes
EventEuropean Control Conference, ECC 2015 - Linz, Austria
Duration: 15. Jul 201517. Jul 2015

Conference

ConferenceEuropean Control Conference, ECC 2015
Country/TerritoryAustria
CityLinz
Period15/07/201517/07/2015

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