Mémoires de Fin d’Etudes
Etablissement
Université d’Oran1 - Ahmed Ben Bella
Affiliation
Département de Mathématique
Auteur
BARIGOU, Ahmed
Directeur de thèse
MESSIRDI B. (Professeur)
Filière
Mathématiques
Diplôme
Doctorat
Titre
Contribution à l’observabilité des systèmes linéaires perturbés
Mots clés
Bounded operator; Linear system; Bochner integrable perturbation;Hilbert space; Banach space; Ideal observability; Kalman observability;Conditioned invariance; Controlled invariance; Operator factorization.
Résumé
This thesis is mainly devoted to the ideal observability of abstract linear systems with bounded operators. The contributions brought in this context may be considered as the extensions to Hilbert space of the fundamental results developed up to now in the finite dimensional spaces. The systems considered all along this work will be supposed to be governed in their phase space by the triple (A;B;H) according to the equations:(1.1) x’(t) = Ax(t) + Bu(t); t=>0; (1.2) y(t) = Hx(t); t in [0; T] :Shortly speaking, our aim will be the reconstructibility of the state trajectory x(.) of (1.1) on the observation time interval [0; T] ; for given A; B; and H; and solely from the knowledge of the output y(.) generated according to (1.2) under the action of the disturbance u(.).
Date de soutenance
14/12/2010
Cote
TH3268
Pagination
61F.
Format
30 cm
Notes
BIBLIOG. 59-61F.
Statut
Soutenue