- AutorIn
- V. Mehrmann
- Titel
- A step towards a unified treatment of continuous and discrete time control problems
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:ch1-199800581
- Abstract (EN)
- In this paper introduce new approach for unified theory for continuous and discrete time (optimal) control problems based on the generalized Cayley transformation. We also relate the associated discrete and continuous generalized algebraic Riccati equations. We demonstrate the potential of this new approach proving new result for discrete algebraic Riccati equations. But we also discuss where this new approach as well as all other approaches still is non-satisfactory. We explain a discrepancy observed between the discrete and continuous cse and show that this discrepancy is partly due to the consideration of the wrong analogues. We also present an idea for a metatheorem that relates general theorems for discrete and continuous control problems.
- Freie Schlagwörter
- generalized Cayley transformation
- generalized algebraic Riccati
- equations
- discrete algebraic Riccati equations
- MSC 93B17
- MSC 93C60
- MSC 93C55
- MSC 49N10
- Klassifikation (DDC)
- 510
- Publizierende Institution
- Technische Universität Chemnitz, Chemnitz
- URN Qucosa
- urn:nbn:de:bsz:ch1-199800581
- Veröffentlichungsdatum Qucosa
- 30.10.1998
- Dokumenttyp
- Preprint
- Sprache des Dokumentes
- Englisch