This book is divided into two parts. The first addresses the simpler variational problems in
parametric and nonparametric form. The second covers extensions to optimal control theory …

"... eminently suitable as a text for an introductory course: the style is pleasant; the
prerequisites are kept to a minimum... and the pace of the development is appropriate for …

Optimal control is a modern development of the calculus of variations and classical
optimization theory. For that reason, this introduction to the theory of optimal control starts by …

Functional analysis owes much of its early impetus to problems that arise in the calculus of
variations. In turn, the methods developed there have been applied to optimal control, an …

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Introduction. In the study of the problems of minimizing or maximizing a functionM of a curve
on some assigned class of curves, the symbolism of control theory has shown itself to be …

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 …

This paper constructs the first example of a singular, abnormal minimizes for the Lagrange
problem with linear velocity constraints and quadratic definite Lagrangian, or, equivalently …

Before I begin this talk, I would like to sketch briefly what I plan to do. I hope to speak of
some of the important stages of the development of the calculus of variations, with a …

When the Tyrian princess Dido landed on the North African shore of the Mediterranean sea
she was welcomed by a local chieftain. He offered her all the land that she could enclose …