Optimal Syntheses for Control Systems on 2-D Manifolds
Autor: | Boscain, Ugo Piccoli, Benedetto |
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EAN: | 9783540203063 |
Sachgruppe: | Mathematik |
Sprache: | Englisch |
Seitenzahl: | 280 |
Produktart: | Kartoniert / Broschiert |
Veröffentlichungsdatum: | 26.11.2003 |
Schlagworte: | Steuerung (elektronisch) |
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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.