TY  - JOUR
ID  - iiasa4687
UR  - https://pure.iiasa.ac.at/id/eprint/4687/
IS  - 2
A1  - Heymann, V.I.
A1  - Kryazhimskiy, A.V.
Y1  - 1996/09//
N2  - 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
JF  - Applied Mathematics and Computation
VL  - 78
SN  - 1873-5649
TI  - On finite-dimensional parametrizations of attainability sets
SP  - 137
AV  - none
EP  - 151
ER  -