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
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