Academic Journal
Perturbed marked reduced forms of invariant subspaces
| Τίτλος: | Perturbed marked reduced forms of invariant subspaces |
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| Συγγραφείς: | Compta Creus, Albert, Ferrer Llop, Josep, Peña Carrera, Marta |
| Συνεισφορές: | Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. SCL-EG - Sistemes de Control Lineals: estudi Geomètric |
| Πηγή: | Recercat. Dipósit de la Recerca de Catalunya instname UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| Στοιχεία εκδότη: | Elsevier BV, 2018. |
| Έτος έκδοσης: | 2018 |
| Θεματικοί όροι: | Àrees temàtiques de la UPC::Matemàtiques i estadística, Vector spaces, Endomorfismes (Teoria de grups), 93 Systems Theory [Classificació AMS], Classificació AMS::15 Linear and multilinear algebra, matrix theory, observability, 15 Linear and multilinear algebra [Classificació AMS], Control::93B Controllability, Matemàtiques i estadística [Àrees temàtiques de la UPC], Control::93B Controllability, observability, and system structure, 01 natural sciences, and system structure, 93B Controllability, observability, and system structure [Control], Classificació AMS::93 Systems Theory, Endomorphism, 8. Economic growth, marked subspaces, Espais vectorials, 0101 mathematics, invariant subspaces, Endomorphisms (Group theory) |
| Περιγραφή: | The classification of invariant subspaces is an open problem related to other important ones like the Carlson problem. Here we obtain a reduced form of these invariant subspaces as a new tool to tackle these problems. In particular, it allows us to prove quite easily partial results already known. The key point is assigning to each invariant subspace a marked one (its marked type) in order to partition the set of invariant subspaces in a finite number of subsets (the marked classes), each one containing only one marked subspace. Next, we parametrize (minimally) each marked class by means of the so-called PM reduced families, so that representatives of an invariant subspace (its PM reduced forms) appear in just one of these families. |
| Τύπος εγγράφου: | Article |
| Περιγραφή αρχείου: | application/pdf |
| Γλώσσα: | English |
| ISSN: | 0024-3795 |
| DOI: | 10.1016/j.laa.2018.09.009 |
| Σύνδεσμος πρόσβασης: | https://upcommons.upc.edu/bitstream/2117/134342/1/invariants_2017_revised_second_2.pdf http://hdl.handle.net/2117/134342 https://upcommons.upc.edu/handle/2117/134342 https://www.sciencedirect.com/science/article/pii/S0024379518304427 https://hdl.handle.net/2117/134342 https://doi.org/10.1016/j.laa.2018.09.009 |
| Rights: | Elsevier Non-Commercial CC BY NC ND |
| Αριθμός Καταχώρησης: | edsair.doi.dedup.....fee4d1646bca622f3ad39e6678f81b28 |
| Βάση Δεδομένων: | OpenAIRE |
| ISSN: | 00243795 |
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| DOI: | 10.1016/j.laa.2018.09.009 |