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Calculus of variations and optimal control theory a concise introduction by Daniel Liberzon

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Published by Princeton Univ Press in Princeton, NJ .
Written in English

Subjects:

  • Control theory,
  • Calculus of variations

Book details:

Edition Notes

Includes bibliographical references and index.

StatementDaniel Liberzon
Classifications
LC ClassificationsQA315 .L54 2012
The Physical Object
Paginationxv, 235 p.
Number of Pages235
ID Numbers
Open LibraryOL27022893M
ISBN 100691151873
ISBN 109780691151878
LC Control Number2011935625
OCLC/WorldCa772627669

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Calculus of Variations and Optimal Control Theory: A Concise Introduction Daniel Liberzon 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. Calculus of variation is a special case of optimal control theory in a particular sense.. Consider, Dido's iso-perimetric problem (colloquially said to be the oldest calculus of variation problem) which can be viewed as an optimal control problem, in the sense that what you get to control is the 'shape' of the curve, and your objective is to maximize the area. Nonetheless it is probably the first account of a problem of the kind that inspired an entire mathematical discipline, the calculus of variations and its extensions such as the theory of optimal control. This book is intended to present an introductory treatment of the calculus of variations in Part I Brand: Springer US. 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 .

This book is an introduction to both the classical theory of the calculus of variations and the more modern developments of optimal control theory from the perspective of an applied mathematician. It focuses on understanding concepts and how to apply them. The words ``control theory'' are, of course, of recent origin, but the subject itself is much older, since it contains the classical calculus of variations as a special case, and the first calculus of variations problems go back to classical Greece. Hector J. Sussmann Cover illustration by Polina Ben-Sira © 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 Author: Daniel Liberzon.   Calculus of Variations and Optimal Control Theory book. Read reviews from world’s largest community for readers. This textbook offers a concise yet rigor /5.

title = "Calculus of variations and optimal control theory: A concise introduction", abstract = "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 Cited by: This book is intended to present an introductory treatment of the calculus of variations in Part I and of optimal control theory in Part II. The discussion in Part I is restricted to the simplest problem of the calculus of variations. The topic is entirely classical; all of the basic theory had been developed before the turn of the century. Functional Analysis, Calculus of Variations and Optimal Control is intended to support several different courses at the first-year or second-year graduate level, on functional analysis, on the calculus of variations and optimal control, or on some combination. For this reason, it has been organized with customization in mind. Book Description: 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.