Introduction to the Calculus of Variations and Control with Modern Applications (Chapman & Hall/CRC Applied Mathematics and Nonlinear Science) - Hardcover

Burns, John A.

Hardcover

ISBN 10: 146657139X ISBN 13: 9781466571396

Publisher: Chapman and Hall/CRC, 2013

Synopsis

Introduction to the Calculus of Variations and Control with Modern Applications provides the fundamental background required to develop rigorous necessary conditions that are the starting points for theoretical and numerical approaches to modern variational calculus and control problems. The book also presents some classical sufficient conditions and discusses the importance of distinguishing between the necessary and sufficient conditions.

In the first part of the text, the author develops the calculus of variations and provides complete proofs of the main results. He explains how the ideas behind the proofs are essential to the development of modern optimization and control theory. Focusing on optimal control problems, the second part shows how optimal control is a natural extension of the classical calculus of variations to more complex problems.

By emphasizing the basic ideas and their mathematical development, this book gives you the foundation to use these mathematical tools to then tackle new problems. The text moves from simple to more complex problems, allowing you to see how the fundamental theory can be modified to address more difficult and advanced challenges. This approach helps you understand how to deal with future problems and applications in a realistic work environment.

About this title

About the Author

John Burns is the Hatcher Professor of Mathematics, Interdisciplinary Center for Applied Mathematics at Virginia Polytechnic Institute and State University. He is a fellow of the IEEE and SIAM. His research interests include distributed parameter control; approximation, control, identification, and optimization of functional and partial differential equations; aero-elastic control systems; fluid/structural control systems; smart materials; optimal design; and sensitivity analysis.

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 2013
• Language: English
• ISBN 10: 146657139X
• ISBN 13: 9781466571396
• Binding: Hardcover
• Edition number: 1
• Number of pages: 562