Standardizable generalized systems under discrete derivative feedback

Given a quadruple of matrices $(E,A,B,C)$ representing a generalized discrete time-invariant system $Ex(k+1)=Ax(k)+Bu(k), y(k)=Cx(k)$, we obtain necessary and sufficient conditions for which the system can be standardized by means of a discrete derivative feedback. Also we analyze the controllabilit...

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Detalles Bibliográficos
Autores: Clotet Juan, Josep|||0000-0002-9550-728X, García Planas, María Isabel|||0000-0001-7418-7208
Tipo de recurso: artículo
Fecha de publicación:2002
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/1036
Acceso en línea:https://hdl.handle.net/2117/1036
Access Level:acceso abierto
Palabra clave:System theory
Algebras, Linear
Multilinear algebra
Matrices
Quadruples of matrices
discrete derivative feedback
controllability
Sistemes, Teoria de
Àlgebra lineal
Matriu S, Teoria
Àlgebra multilineal
Classificació AMS::15 Linear and multilinear algebra
matrix theory
Classificació AMS::93 Systems Theory
Control::93B Controllability, observability, and system structure
Descripción
Sumario:Given a quadruple of matrices $(E,A,B,C)$ representing a generalized discrete time-invariant system $Ex(k+1)=Ax(k)+Bu(k), y(k)=Cx(k)$, we obtain necessary and sufficient conditions for which the system can be standardized by means of a discrete derivative feedback. Also we analyze the controllability and observability of the system.