Optimal syntheses for control systems on 2-D manifolds / Ugo Boscain, Benedetto Piccoli

Auteur: Boscain, Ugo (1968-) - AuteurCo-auteur: Piccoli, Benedetto (1968-) - AuteurType de document: MonographieCollection: Mathématiques et applications ; 43Langue: anglaisPays: AllemagneÉditeur: Berlin : Springer-Verlag, 2004Description: 1 vol. (XIII-261 p.) : fig. ; 24 cm ISBN: 9783540203063 ; br. Résumé: This monograph is the first devoted to optimal syntheses in control theory and focuses on minimum time on 2-D manifolds. The first chapter outlines book results and examples of applicability. Then a quick introduction to geometric methods in control theory is provided. The following chapters contain a deep analysis of single input systems on 2-D manifolds including classifications of optimal syntheses and feedbacks, their singularities, extremals projection and minimum time singularities. Various extensions and applications are also illustrated. The volume is suitable for a graduate level one-semester course on optimal syntheses theory for mathematicians or engineers with a solid mathematical background. (Source : 4ème de couverture).Bibliographie: Bibliogr. p. 251-257. Index. Sujets MSC: 49-02 Calculus of variations and optimal control; optimization -- Research exposition (monographs, survey articles)
49N35 Calculus of variations and optimal control; optimization -- Miscellaneous topics -- Optimal feedback synthesis
93-02 Systems theory; control -- Research exposition (monographs, survey articles)
93B50 Systems theory; control -- Controllability, observability, and system structure -- Synthesis problems
Location Call Number Status Date Due
Couloir 06961-01 / Séries SMA (Browse Shelf) Available

Bibliogr. p. 251-257. Index

This monograph is the first devoted to optimal syntheses in control theory and focuses on minimum time on 2-D manifolds. The first chapter outlines book results and examples of applicability. Then a quick introduction to geometric methods in control theory is provided. The following chapters contain a deep analysis of single input systems on 2-D manifolds including classifications of optimal syntheses and feedbacks, their singularities, extremals projection and minimum time singularities. Various extensions and applications are also illustrated. The volume is suitable for a graduate level one-semester course on optimal syntheses theory for mathematicians or engineers with a solid mathematical background. (Source : 4ème de couverture)

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