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Direct Methods in Control Problems

Authors: Falb, Peter

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  • Fills a gap in literature, covering direct methods applications in the control and systems context; takes into account recent significant advances in computing; most other books cover indirect methods
  • New material is presented, in particular, a treatment of representation methods for stochastic systems involving Lévy processes
  • Varied examples throughout are a valuable pedagogical tool and of independent interest to researchers and students
  • For a broad audience of graduate students, researchers, applied mathematicians, and control engineers
  • May be used as a textbook for a graduate course or seminar on direct methods in control
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Buy this book

eBook 71,68 €
price for Spain (gross)
  • ISBN 978-0-8176-4723-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 88,39 €
price for Spain (gross)
  • ISBN 978-0-8176-4722-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

The primary focus of this book is on explicating the direct method approach. Historically, direct methods have not been fully exploited in control problems. The key is constructing convergent minimizing families. Integration methods (for example the gradient method) and representation methods (such as the Ritz-Galerkin and Finite Element methods) are examined in this text in an abstract (with concrete examples) functional analytic way. The aim is to consider direct methods from a unified general point of view and to provide a stimulus for future research. Explicitly, implicitly and by example, potential areas of research interest are indicated.

The book is a suitable reference for graduate students, researchers, applied mathematicians, and control engineers. Some of the material is of independent mathematical interest. The work may be used as a text for a graduate course or seminar on direct methods in control. A degree of mathematical sophistication and some knowledge of control theory is required.

About the authors

Peter Falb is Professor Emeritus of Applied Mathematics: Applied Mathematics at the Brown University in Providence, RI, USA. His research interests are in the areas of systems science and engineering, particularly algebraic and geometric methods, parametric dependence, numerical methods, multivariable linear systems, and infinite dimensional stochastic systems, as well as control and stability theory and mathematics of investment.

Reviews

“The book will become a valuable reference for researchers, engineers and students in the field of mathematics, management science, operations research, optimal control science and economics.” (Savin Treanta, zbMATH 1444.93002, 2020)


Table of contents (15 chapters)

Table of contents (15 chapters)

Buy this book

eBook 71,68 €
price for Spain (gross)
  • ISBN 978-0-8176-4723-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 88,39 €
price for Spain (gross)
  • ISBN 978-0-8176-4722-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Direct Methods in Control Problems
Authors
Copyright
2019
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media, LLC, part of Springer Nature
eBook ISBN
978-0-8176-4723-0
DOI
10.1007/978-0-8176-4723-0
Hardcover ISBN
978-0-8176-4722-3
Edition Number
1
Number of Pages
XIII, 311
Number of Illustrations
14 b/w illustrations
Topics