On the parametrization of the controllability 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 an stratified submanifold of the set of (A;B)-invariant subspaces. We parameterize each strata by means of coordinate charts. This parametrization has significant di®erenc...

Full description

Bibliographic Details
Authors: Puerta Sales, Ferran, Puerta Coll, Xavier, Zaballa, Ion
Format: article
Publication Date:2003
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:2117/867
Online Access:https://hdl.handle.net/2117/867
Access Level:Open access
Keyword:System theory
Algebras, Linear
Multilinear algebra
Matrices
parametrization
controllable pair
controllability subspaces
Sistemes, Teoria de
Àlgebra lineal
Àlgebra multilineal
Matriu S, Teoria
Classificació AMS::93 Systems Theory
Control::93B Controllability, observability, and system structure
Classificació AMS::15 Linear and multilinear algebra
matrix theory
Description
Summary:Given a controllable linear control system defined by a pair of constant matrices (A;B), the set of controllability subspaces is an stratified submanifold of the set of (A;B)-invariant subspaces. We parameterize each strata by means of coordinate charts. This parametrization has significant di®erences to that of (A;B) invariant subspaces, showing a more complex geometric structure.

Similar Items