Overview
- Comprehensive presentation of an up-to-date geometric approach to optimal control, both necessary and sufficient conditions, which has not been done in a book form before
- Rigorous presentation, written in a easy tutorial style accessible to non-experts and advanced undergraduate and graduate students
- Palette of fully and in detail worked out, well illustrated, nontrivial examples which are only available in the research literature
- Includes supplementary material: sn.pub/extras
Part of the book series: Interdisciplinary Applied Mathematics (IAM, volume 38)
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Table of contents (7 chapters)
Keywords
About this book
Reviews
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 fully solved examples that illustrate the theory makes this text a strong educational asset. The book is recommended as a comprehensive textbook for both advanced undergraduate and all levels of graduate courses on optimal control in mathematics and engineering.” (Ovidiu Cârjă, zbMATH, Vol. 1276, 2014)
“The book presents a comprehensive treatment of both necessary and sufficient conditions for optimal control using geometric approach … . The book is of interest to senior and graduate students in engineering and mathematics, and scientists and engineers working in academic and industrial organizations. … The book is a valuable addition to some of the recent books on this ever-green field of Optimal Control … .” (D. Subbaram Naidu, Amazon.com, September, 2013)
“Grown out of well-tested lecture notes, large parts of this volume are suitable as a comprehensive textbook at an advanced undergraduate or at the graduate level, either in mathematics or in engineering … . this most readable text provides a rich and versatile resource which is suitable as a textbook in various settings, is a valuable reference for theory, and which provides a very large collection of model examples that are analyzed completely using state-of-the-art methods.” (Matthias Kawski, Mathematical Reviews, February, 2013)
“Schättler (electrical and systems engineering, Washington Univ.) and Ledzewicz (mathematics and statistics, Southern Illinois Univ.) use a geometric approach to present the theory of optimal control. … authors have developed a general approach that can be applied to a wide variety of control problems. … This book may be of interest to graduate students and researchers working in this area. Summing Up: Recommended.Graduate students and researchers/faculty.” (B. Borchers, Choice, Vol. 50 (5), January, 2013)
Authors and Affiliations
About the authors
Bibliographic Information
Book Title: Geometric Optimal Control
Book Subtitle: Theory, Methods and Examples
Authors: Heinz Schättler, Urszula Ledzewicz
Series Title: Interdisciplinary Applied Mathematics
DOI: https://doi.org/10.1007/978-1-4614-3834-2
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2012
Hardcover ISBN: 978-1-4614-3833-5Published: 26 June 2012
Softcover ISBN: 978-1-4899-8680-1Published: 17 July 2014
eBook ISBN: 978-1-4614-3834-2Published: 26 June 2012
Series ISSN: 0939-6047
Series E-ISSN: 2196-9973
Edition Number: 1
Number of Pages: XX, 640
Topics: Calculus of Variations and Optimal Control; Optimization, Control and Systems Theory, Differential Geometry, Ordinary Differential Equations, Mathematical and Computational Engineering