"4687","5","archive","351",,,"disk0/00/00/46/87","2016-01-15 02:06:52","2021-08-27 17:36:15","2016-01-15 02:06:52","article",,,"show","","","1",,,"Heymann","V.I.","","",,"","",,,,,"","","On finite-dimensional parametrizations of attainability sets","pub","","iis_met","prog_dyn",,,"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.","1996-09","published","Elsevier","10.1016/0096-3003(96)00004-5",,,,,,"",,,,,"",,,,,"",,,,,"","",,"","XJ-96-014","Applied Mathematics and Computation; 78(2-3):137-151 (1 September 1996) (Published online 11 June 1999)","[doi:10.1016/0096-3003(96)00004-5] Special Issue",,,,"1393","none",,,,"Applied Mathematics and Computation","78","2",,"137-151",,,,,,,,,,,"TRUE",,"1873-5649",,,,,,"","","","",,"","",,,,,,,"",,,,,"FALSE",,,"info:eu-repo/semantics/article",
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