On the minimal number of trajectories determining a multidimensional system |
| |
Authors: | Ulrich Oberst |
| |
Affiliation: | (1) Institut für Mathematik der Universität Innsbruck, Technikerstraße 25, A-6020 Innsbruck, Austria |
| |
Abstract: | The minimal number(S) of generators of a multidimensional systemS is constructively determined. Such anS is the solution space of a linear system of partial differential or difference equations with constant coefficients. The main theorem generalizes recent results of Heij and Zampieri who calculated the number(S) in the one- (resp. two-) dimensional discrete case. There is also a direct connection with Macaulay's inverse systems in the multidimensional discrete situation, in particular with his principal systems characterized by the relation(S)1. It is surprising that, for dimensions greater than one, very many large systems are principal in this sense. |
| |
Keywords: | Multidimensional system System behavior Trajectory Exact modeling Inverse system Grö bner basis |
本文献已被 SpringerLink 等数据库收录! |
|