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.
| Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:17431 |
| Date | 30 October 1998 |
| Creators | Mehrmann, V. |
| Publisher | Technische Universität Chemnitz |
| Source Sets | Hochschulschriftenserver (HSSS) der SLUB Dresden |
| Language | English |
| Detected Language | English |
| Type | doc-type:preprint, info:eu-repo/semantics/preprint, doc-type:Text |
| Rights | info:eu-repo/semantics/openAccess |
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