On the parametrization of the controllability pairs of a controllable subspaces of a controllable pair

Given a controllable linear control system defined by a pair of constant matrices (A,B), the set of controllability subspaces is a stratified submanifold of the set of (A,B)-invariant subspaces. We parametrize each strata by means of coordinate charts. This parametrization has significant difference...

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Bibliographic Details
Authors: Puerta Sales, Ferran, Puerta Coll, Xavier, Zaballa, Ion
Format: article
Publication Date:2004
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:2117/1226
Online Access:https://hdl.handle.net/2117/1226
Access Level:Open access
Keyword:System theory
Algebras, Linear
Multilinear algebra
Matrices
parametrization
controllability pairs
Sistemes, Teoria de
Àlgebra lineal
Àlgebra multilineal
Matriu S, Teoria
Classificació AMS::15 Linear and multilinear algebra
matrix theory
Classificació AMS::93 Systems Theory
Control::93B Controllability, observability, and system structure
Description
Summary:Given a controllable linear control system defined by a pair of constant matrices (A,B), the set of controllability subspaces is a stratified submanifold of the set of (A,B)-invariant subspaces. We parametrize each strata by means of coordinate charts. This parametrization has significant differences to that of (A,B) invariant subspaces, showing a more complex geometric structure.

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