Direct Methods in Control Problems (Systems & Control: Foundations & Applications)

Falb, Peter

ISBN 10: 0817647228 / ISBN 13: 9780817647223

Published by Birkhäuser (edition 1st ed. 2019), 2020

About this Item

It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting.

Seller Inventory # 0817647228-8-1

Bibliographic Details

• Title: Direct Methods in Control Problems (Systems & Control: Foundations & Applications)
• Publisher: Birkhäuser (edition 1st ed. 2019)
• Publication Date: 2020
• Language: English
• ISBN 10: 0817647228
• ISBN 13: 9780817647223
• Binding: Hardcover
• Edition: 1st ed. 2019.
• Condition: Very Good

About this title

Synopsis

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 Author

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.