Optimal Syntheses for Control Systems on 2-D Manifolds
Springer Berlin (Verlag)
978-3-540-20306-3 (ISBN)
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.
Introduction.- Geometric Control.- Time Optimal Synthesis for 2-D Systems.- Generic Properties of the Minimum Time Function.- Extremal Synthesis.- Projection Singularities.- A. Some Technical Proofs of Chapter 2.- B. Bidimensional Sources.- References.- Index.
From the reviews:
"This book provides an excellent illustration of concepts and methods of geometric optimal control at work. ... This book is a welcome addition to a number of texts that treat the mathematical aspects of control theory from a geometric point of view ... . accessible to the advanced, mathematically inclined graduate student and rewarding in their results. They provide plentiful and excellent material for a mathematically oriented graduate course on the topic ... ." (Heinz Schaettler, SIAM Reviews, Vol. 47 (3), 2005)
| Erscheint lt. Verlag | 26.11.2003 |
|---|---|
| Reihe/Serie | Mathématiques et Applications |
| Zusatzinfo | XIV, 262 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 445 g |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Technik ► Elektrotechnik / Energietechnik | |
| Schlagworte | 49J15, 49N35 • Control Theory • Geometric Control • Hardcover, Softcover / Mathematik/Analysis • HC/Mathematik/Analysis • Kontrolltheorie • optimal control • optimal syntheses • Optimierung • singularity theory • YellowSale2006 |
| ISBN-10 | 3-540-20306-0 / 3540203060 |
| ISBN-13 | 978-3-540-20306-3 / 9783540203063 |
| Zustand | Neuware |
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