RT Journal Article
SR 00
ID 10.1016/0096-3003(96)00004-5
A1 Heymann, V.I.
A1 Kryazhimskiy, A.V.
T1 On finite-dimensional parametrizations of attainability sets
JF Applied Mathematics and Computation
YR 1996
FD 1996-09
VO 78
IS 2
SP 137
OP 151
AB 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.
PB Elsevier
SN 1873-5649
LK https://pure.iiasa.ac.at/id/eprint/4687/