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A cellular decomposition of the manifold of observable conditioned invariant subspaces
Puerta Sales, Ferran; Puerta Coll, Xavier; Zaballa, Ion
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Given an observable system defined by a pair of matrices $(C,A)$ we obtain a cellular decomposition of the manifold of $(C,A)$-conditioned invariant subspaces having the restricted system fixed observability indices and we apply this decomposition to compute their homology groups.
System theory
Conditioned invariant subspace
cewllular descomposition
homology groups
Sistemes, Teoria de
Sistemes de control
Classificació AMS::93 Systems Theory; Control::93C Control systems, guided systems
Classificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
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