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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
Paris, Berlin, Heidelberg u.a.
Springer
2004
|
| Schriftenreihe: | Mathématiques & applications
43 |
| Schlagworte: | |
| Online Zugang: | Inhaltstext Cover Inhaltsverzeichnis Inhaltstext Publisher description |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Tag hinzufügen 
| Zusammenfassung: | 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 semester course on optimal syntheses theory for a graduate course to mathematicians or engieneers with solid mathematical background. TOC:Introduction.- 1. Geometric Control.- 2. Time Optimal Synthesis for 2-D Systems.- 3. Generic Properties of the Minimum Time Function.- 4. Extremal Synthesis.- 5. Projection Singularities.- A. Some Technical Proofs of Chapter 2.- B. Bidimensional Sources.- References.- Index |
|---|---|
| Beschreibung: | Literaturverz. S. [251] - 257 |
| Beschreibung: | XIII, 261 S. graph. Darst. 24 cm |
| ISBN: | 9783540203063 978-3-540-20306-3 3540203060 3-540-20306-0 |