𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Localization and parametrization of linear multidimensional control systems

✍ Scribed by J.F. Pommaret; A. Quadrat

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
177 KB
Volume
37
Category
Article
ISSN
0167-6911

No coin nor oath required. For personal study only.

✦ Synopsis

We study the link existing between the parametrization of di erential operators by potential-like arbitrary functions and the localization of di erential modules, while applying these results to the parametrization of linear multidimensional control systems. We show that the localization of di erential modules is a natural way to generalize some well-known results on transfer matrix, classically obtained by using Laplace transform, to time-varying ordinary di erential control systems and to partial di erential control systems with variable coe cients. In particular, we show that the parametrizations obtained by localization are simpler than those obtained by formal duality but are worse in the sense of Palamodov-Kashiwara's classiΓΏcation of di erential modules.

πŸ“œ SIMILAR VOLUMES

Optimal control of linearly constrained
Optimal control of linearly constrained linear systems via state parametrization
✍ V. Yen; M. Nagurka πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 634 KB

This paper presents a general computational tool for determining the near-optimal trajectories of linear, lumped parameter, dynamic systems subjected to linear constraints. In the proposed approach each state variable is approximated by the sum of a third-order polynomial and a finite term Fourier-t