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

Auteur principal : Boscain, Ugo, 1968-, AuteurCo-auteur : Piccoli, Benedetto, 1968-, AuteurType de document : MonographieCollection : Mathématiques et applications, 43Langue : anglais.Pays: Allemagne.Éditeur : Berlin : Springer-Verlag, 2004Description : 1 vol. (XIII-261 p.) : fig. ; 24 cmISBN: 9783540203063.ISSN: 1154-483X.Bibliographie : Bibliogr. p. 251-257. Index.Sujet MSC : 49-02, Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control
49N35, Miscellaneous topics in calculus of variations and optimal control, Optimal feedback synthesis
93-02, Research exposition (monographs, survey articles) pertaining to systems and control theory
93B50, Systems theory; control, Synthesis problems
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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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