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Converse Theorems for Safety and Barrier Certificates

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Aug 2018Embargo end date: 01 Jan 2017 Czech Republic Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Automatic Control, volume 63, pages 2,628-2,632 (issn: 0018-9286, eissn: 2334-3303, Copyright policy )
Authors: Stefan Ratschan;

doi: 10.1109/tac.2018.2792325 , 10.48550/arxiv.1701.03948

arXiv: http://arxiv.org/abs/1701.03948

handle: 11104/0281922

Converse Theorems for Safety and Barrier Certificates

Abstract

An important tool for proving safety of dynamical systems is the notion of a barrier certificate. In this paper we prove that every robustly safe ordinary differential equation has a barrier certificate. Moreover, we show a construction of such a barrier certificate based on a set of states that is reachable in finite time.

Country
Czech Republic
Related Organizations
Keywords

Differential equations, Tools, Controllability, Radio frequency, FOS: Electrical engineering, electronic engineering, information engineering, Systems and Control (eess.SY), Safety, Robustness, Computer science, Electrical Engineering and Systems Science - Systems and Control

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
16
Top 10%
Top 10%
Average
Green
bronze