A cellular decomposition of the manifold of observable conditioned invariant subspaces

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.

Bibliographic Details
Authors: Puerta Sales, Ferran, Puerta Coll, Xavier, Zaballa, Ion
Format: article
Publication Date:2000
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/795
Online Access:https://hdl.handle.net/2117/795
Access Level:Open access
Keyword: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
Control::93B Controllability, observability, and system structure
Description
Summary: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.

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