Titre :	Application Of Two-Nilpotent Lie Algebra In Control Theory
Type de document :	document électronique
Auteurs :	Otmani Messipsa, Auteur ; Aziza Aib, Directeur de thèse
Editeur :	Sétif:UFS
Année de publication :	2026
Importance :	1 vol (42 f.)
Format :	29 cm
Note générale :
Langues :	Anglais (eng)
Catégories :	Mathématique
Mots-clés :	Bilinear control system - Optimal control - Two-nilpotent Lie algebra
Résumé :	This dissertation. is divided into four parts. In the first part, we introduce some notions concerning nilpotent Lie algebras and bilinear control systems. In the second part, we construct an explicit operator B that for a given operator A (written in Jordan normal form) the set {A, B} generates a two-nilpotent Lie algebra i.e. [A,B]=C≠0 and [A,C]=[B,C]=0, and apply this to an optimal control problem. In the third part, we extend the study to a compact operator in a complex Banach space. The fourth part concludes with examples and an application of the optimal error control associated with an observer.
Côte titre :	MAM/0879

Application Of Two-Nilpotent Lie Algebra In Control Theory [document électronique] / Otmani Messipsa, Auteur ; Aziza Aib, Directeur de thèse . - [S.l.] : Sétif:UFS, 2026 . - 1 vol (42 f.) ; 29 cm.

Langues : Anglais (eng)

Catégories :	Mathématique
Mots-clés :	Bilinear control system - Optimal control - Two-nilpotent Lie algebra
Résumé :	This dissertation. is divided into four parts. In the first part, we introduce some notions concerning nilpotent Lie algebras and bilinear control systems. In the second part, we construct an explicit operator B that for a given operator A (written in Jordan normal form) the set {A, B} generates a two-nilpotent Lie algebra i.e. [A,B]=C≠0 and [A,C]=[B,C]=0, and apply this to an optimal control problem. In the third part, we extend the study to a compact operator in a complex Banach space. The fourth part concludes with examples and an application of the optimal error control associated with an observer.
Côte titre :	MAM/0879