relation: https://pure.iiasa.ac.at/id/eprint/4687/
title: On finite-dimensional parametrizations of attainability sets
creator: Heymann, V.I.
creator: Kryazhimskiy, A.V.
description: The attainability set is defined to be a finite-dimensional integral-type image of the set of all absolutely continuous scalar functions of time whose derivatives take values in a given interval. For a class of control systems with scalar controls restricted to the above interval (the class comprises, in particular, some bilinear systems), the attainability set has the traditional meaning. A method of finite-dimensional parametrization of the attainability set is described. The parametrization is universal, i.e., the same for all attainability sets of a fixed dimension. For the case of control systems, the result provides an upper estimate on the number of switchings sufficient to bring the system to an arbitrary reachable state at a prescribed time.
publisher: Elsevier
date: 1996-09
type: Article
type: PeerReviewed
identifier:   Heymann, V.I. & Kryazhimskiy, A.V. <https://pure.iiasa.ac.at/view/iiasa/1393.html>  (1996).  On finite-dimensional parametrizations of attainability sets.   Applied Mathematics and Computation 78 (2) 137-151. 10.1016/0096-3003(96)00004-5 <https://doi.org/10.1016/0096-3003%2896%2900004-5>.       
relation: 10.1016/0096-3003(96)00004-5
identifier: 10.1016/0096-3003(96)00004-5
doi: 10.1016/0096-3003(96)00004-5