https://pure.iiasa.ac.at/id/eprint/4687 2021-08-27T17:36:15Z info:eu-repo/semantics/descriptiveMetadata https://pure.iiasa.ac.at/id/eprint/4687/ On finite-dimensional parametrizations of attainability sets Heymann, V.I. Kryazhimskiy, A.V. 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. Elsevier 1996-09 Article PeerReviewed 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>. 10.1016/0096-3003(96)00004-5 10.1016/0096-3003(96)00004-5 10.1016/0096-3003(96)00004-5 info:eu-repo/semantics/humanStartPage