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Optimal syntheses for control systems on 2-D manifolds
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...
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| Auteurs principaux : | , |
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| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Optimal syntheses for control systems on 2-D manifolds / Ugo Boscain, Benedetto Piccoli |
| Publié : |
Berlin, New York :
Springer
, cop. 2004 |
| Description matérielle : | 1 vol. (XIII-261 p.) |
| Collection : | Mathématiques et applications (Paris) ; 43 |
| Sujets : |
| 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. |
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| Bibliographie : | Bibliogr. p. [251]-257. Index. |
| ISBN : | 3-540-20306-0 |