Title :

Minimal Realizations of Input-Output Behaviors by LPV State-Space Representations with Affine Dependence

Author(s) :

Petreczky, Mihaly [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Tóth, Roland [Auteur]
Eindhoven University of Technology [Eindhoven] [TU/e]
Mercère, Guillaume [Auteur]
Automatique et Systèmes [équipe du LIAS] [A&S]

Journal title :

IEEE Control Systems Letters

Pages :

2952-2957

Publisher :

IEEE

Publication date :

2023

English keyword(s) :

Behavioral sciences
Trajectory
Dynamic scheduling
Observability
Minimization
Mathematical models
Linear systems

HAL domain(s) :

Mathématiques [math]/Optimisation et contrôle [math.OC]
Sciences de l'ingénieur [physics]/Automatique / Robotique

English abstract : [en]

The paper makes the first steps towards a behavioral theory of LPV state-space representations with an affine dependency on scheduling, by characterizing minimality of such state-space representations. It is shown that ...
Show more >The paper makes the first steps towards a behavioral theory of LPV state-space representations with an affine dependency on scheduling, by characterizing minimality of such state-space representations. It is shown that minimality is equivalent to observability, and that minimal realizations of the same behavior are isomorphic. Finally, we establish a formal relationship between minimality of LPV state-space representations with an affine dependence on scheduling and minimality of LPV state-space representations with a dynamic and meromorphic dependence on scheduling.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL