Calculus of Variations and Optimal Control Theory

A Concise Introduction

Nonfiction, Science & Nature, Mathematics, Calculus, Applied
Cover of the book Calculus of Variations and Optimal Control Theory by Daniel Liberzon, Princeton University Press
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Author: Daniel Liberzon ISBN: 9781400842643
Publisher: Princeton University Press Publication: December 19, 2011
Imprint: Princeton University Press Language: English
Author: Daniel Liberzon
ISBN: 9781400842643
Publisher: Princeton University Press
Publication: December 19, 2011
Imprint: Princeton University Press
Language: English

This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. Designed specifically for a one-semester course, the book begins with calculus of variations, preparing the ground for optimal control. It then gives a complete proof of the maximum principle and covers key topics such as the Hamilton-Jacobi-Bellman theory of dynamic programming and linear-quadratic optimal control.

Calculus of Variations and Optimal Control Theory also traces the historical development of the subject and features numerous exercises, notes and references at the end of each chapter, and suggestions for further study.

  • Offers a concise yet rigorous introduction
  • Requires limited background in control theory or advanced mathematics
  • Provides a complete proof of the maximum principle
  • Uses consistent notation in the exposition of classical and modern topics
  • Traces the historical development of the subject
  • Solutions manual (available only to teachers)

Leading universities that have adopted this book include:

  • University of Illinois at Urbana-Champaign ECE 553: Optimum Control Systems
  • Georgia Institute of Technology ECE 6553: Optimal Control and Optimization
  • University of Pennsylvania ESE 680: Optimal Control Theory
  • University of Notre Dame EE 60565: Optimal Control
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. Designed specifically for a one-semester course, the book begins with calculus of variations, preparing the ground for optimal control. It then gives a complete proof of the maximum principle and covers key topics such as the Hamilton-Jacobi-Bellman theory of dynamic programming and linear-quadratic optimal control.

Calculus of Variations and Optimal Control Theory also traces the historical development of the subject and features numerous exercises, notes and references at the end of each chapter, and suggestions for further study.

Leading universities that have adopted this book include:

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