Titre :
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Liapunov functions and stability in control theory
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Auteurs :
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Andrea Baccioto, Auteur ;
Lionel Rosier, Auteur
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Type de document :
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texte imprimé
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Editeur :
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London : Springer-Verlag, 2001
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Collection :
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Lecture notes in control and information sciences
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ISBN/ISSN/EAN :
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978-1-85233-419-2
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Format :
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1 vol. (XI-208 p.) / ill. / 24 cm
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Langues originales:
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Index. décimale :
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620 (Génie et activités connexes)
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Catégories :
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Ouvrages > Sciences naturelles > Mathématiques
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Mots-clés:
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Control theory
Commande, Théorie de la
Lyapunov functions
Liapounov, Fonctions de
Stability
Stabilité
stabilité robuste
stabilité asymptotique
inclusion différentielle
système temps variable
système non linéaire
stabilité Liapunov
fonction Liapunov
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Résumé :
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The main purpose of this work is to present a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. The book focuses in particular on the problem of the existence of Liapunov functions (converse Liapunov theorems) and their regularity, whose interest is especially motivated by applications to automatic control (boundedness of state evolution with respect to bounded inputs, stabilization by feedback). Many recent results in this area have been collected and presented in a systematic way. Some of them are given in extended, unified versions and with new, simpler proofs.
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Côte titre :
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S8/59733-59734
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Exemplaires (2)
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S8/59733 | Livre | Bibliothèque centrale | Disponible |
S8/59734 | Livre | Bibliothèque centrale | Disponible |
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