Memorias de investigación
Artículos en revistas:
On the minimum number of general or dedicated controllers required for system controllability
Año:2019
Áreas de investigación
  • Matemáticas,
  • Ingenierías
Datos
Descripción
The paper determines the minimum number of general or dedicated controllers which are required to guarantee the controllability of a class of dynamical systems. For this purpose, we begin by reformulating Kalman controllability condition for linear systems ( A , B ) in the context of the similarity equivalence class associated with A , and then we provide new al- ternative characterizations of such controllability condition based on the cases when ma- trix A is in Jordan or Frobenius form, so that theoretical aspects and computational re- quirements are comparatively commented. In the second part of the paper, given a system state matrix A , we solve the optimal design problem of determining the minimum number of controllers (columns of B ) required for making ( A , B ) controllable, resorting also to the Jordan and Frobenius canonical forms in the similarity equivalence class associated with A . These canonical forms are proven to be also fundamental to provide bounds on the minimum number of dedicated controllers (corresponding to columns of B with a single non-zero element) required to make ( A , B ) controllable. Some examples serve to illustrate the fundamental results.
Internacional
Si
JCR del ISI
Si
Título de la revista
Applied Mathematics And Computation
ISSN
0096-3003
Factor de impacto JCR
2,3
Información de impacto
Datos JCR del año 2017
Volumen
355
DOI
10.1016/j.amc.2019.03.015
Número de revista
Desde la página
417
Hasta la página
427
Mes
SIN MES
Ranking
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Participantes
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: Grupo de Sistemas Dinámicos, Aprendizaje y Control (SISDAC)
  • Centro o Instituto I+D+i: Centro de I+d+i en Procesado de la Información y Telecomunicaciones
  • Departamento: Matemática Aplicada a Las Tecnologías de la Información y Las Comunicaciones