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Geometric optimal control : theory, methods and examples

Author: Heinz M Schättler; Urszula Ledzewicz
Publisher: New York : Springer, ©2012.
Series: Interdisciplinary applied mathematics, 38.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Here is a comprehensive review of the fundamental conditions for optimality for finite-dimensional, deterministic, optimal control problems. Includes worked examples ranging from minimum surfaces of  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Heinz M Schättler; Urszula Ledzewicz
ISBN: 9781461438335 1461438330
OCLC Number: 781681775
Description: xix, 640 pages : illustrations ; 24 cm.
Contents: 1. The calculus of variations: a historical perspective --
2. The Pontryagin maximum principle: from necessary conditions to the construction of an optimal solution --
3. Reachable sets of linear time-invariant systems: from convex sets to the bang-bang theorem --
4. The high-order maximum principle: from approximations of reachable sets to high-order necessary conditions for optimality --
5. The method of characteristics: a geometric approach to sufficient conditions for a local minimum --
6. Synthesis of optimal controlled trajectories: from local to global solutions --
7. Control-affine systems in low dimensions: from small-time reachable sets to time-optimal syntheses --
A: A review of some basic results from advanced calculus --
B: Ordinary differential equations --
C. An introduction to differentiable manifolds --
D: Some facts from real analysis.
Series Title: Interdisciplinary applied mathematics, 38.
Responsibility: Heinz Schättler, Urszula Ledzewicz.
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From the reviews: "The monograph under review concerns finite-dimensional deterministic optimal control problems. ... The main body of the book is divided into seven chapters. ... The variety of Read more...

 
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