Open AccessProceedings Article
Approximating reachable sets by extrapolation methods
Robert Baier,Frank Lempio +1 more
- pp 9-18
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This article is published in International Conference on Curves and Surfaces.The article was published on 1994-11-01 and is currently open access. It has received 10 citations till now. The article focuses on the topics: Extrapolation.read more
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Journal ArticleDOI
Differences of Convex Compact Sets in the Space of Directed Sets. Part I: The Space of Directed Sets
Robert Baier,Elza Farkhi +1 more
TL;DR: In this paper, a normed and partially ordered vector space of directed sets is constructed, in which the convex cone of all nonempty convex compact sets in R n ≥ 1 is embedded by a positively linear, order preserving and isometric embedding (with respect to a new metric stronger than the Hausdorff metric and equivalent to the Demyanov one).
Proceedings ArticleDOI
Invariant approximations of the minimal robust positively invariant set via finite time Aumann Integrals
TL;DR: This paper provides results on the minimal robust positively invariant set and its robust negatively invariant approximations of an asymptotically stable, continuous-time, linear time-invariant system.
Book ChapterDOI
Set-valued interpolation, differential inclusions, and sensitivity in optimization
TL;DR: In this article, set-valued interpolation and integration methods are introduced with special emphasis on error representations and error estimates with respect to Hausdorff distance, and the connection between order of convergence results and sensitivity properties of finite-dimensional convex optimization problems is discussed.
Results on controllability and numerical approximation of the minimum time function
TL;DR: This thesis focuses on the unconstrained and constrained minimum time problems, in particular on regularity, numerical approximation, feedback and synthesis aspects, and proves the so called Bridge Dynamic Programming Principle (BDPP) which is a relation between the value functions defined on the complement of the target and in its interior.