Optimal Syntheses for Control Systems on 2-D Manifolds

2004
ISBN: 978-3-540-20306-3
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 43, 262 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 429 g

Reihe: Mathématiques et Applications

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.

Zielgruppe

Research

Autoren/Hrsg.

Piccoli, Benedetto

Boscain, Ugo

Fachgebiete

• Mathematik | Informatik Mathematik Operations Research Spieltheorie
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Überwachungstechnik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Technik Allgemein Mess- und Automatisierungstechnik
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung

Inhaltsverzeichnis

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.