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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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.
Imprint | Springer-Verlag |
Country of origin | Germany |
Series | Mathematiques et Applications, 43 |
Release date | November 2003 |
Availability | Expected to ship within 10 - 15 working days |
First published | 2004 |
Authors | Ugo Boscain, Benedetto Piccoli |
Dimensions | 235 x 155 x 15mm (L x W x T) |
Format | Paperback |
Pages | 262 |
Edition | 2004 ed. |
ISBN-13 | 978-3-540-20306-3 |
Barcode | 9783540203063 |
Categories | |
LSN | 3-540-20306-0 |