Calculus of variations and optimal control theory

by Magnus Rudolph Hestenes

Publisher: R. E. Krieger Pub. Co. in Huntington, N.Y

Written in English
Cover of: Calculus of variations and optimal control theory | Magnus Rudolph Hestenes
Published: Pages: 405 Downloads: 658
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Subjects:

  • Calculus of variations.,
  • Control theory.

Edition Notes

StatementMagnus R. Hestenes.
Classifications
LC ClassificationsQA315 .H45 1980
The Physical Object
Paginationxii, 405 p. :
Number of Pages405
ID Numbers
Open LibraryOL4421097M
ISBN 100898740924
LC Control Number79025451

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 Brand: Princeton University Press.   A wonderful book is Variational Principles of Mechanics by Cornelius Lanczos. It is mostly about mechanics, not the calculus of variations specifically. I was carrying it down the street one day and a physicist I didn't know stopped me and congrat. encyclopedic work on the Calculus of Variations by B. Dacorogna [25], the book on Young measures by P. Pedregal [81], Giusti’s more regularity theory-focused introduction to the Calculus of Variations [44], as well as lecture notes on several related courses by J. Ball, J. Kristensen, A. Size: 1MB. Graduate students and research mathematicians working in the calculus of variations and control theory and in applications to mechanics, physics, and engineering. Reviews & Endorsements The first author is one of the patriarchs of the theory of optimal control who was most instrumental in introducing functional-theoretic methods into the theory.

The Calculus of Variations and Optimal Control: An Introduction, Plenum Press, London, [Li] Lions, J.L., Optimal Control of Systems Governed by Partial Differential Equations, Springer Author: Antonio Leitão.

Calculus of variations and optimal control theory by Magnus Rudolph Hestenes Download PDF EPUB FB2

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 Cited by: Calculus of Variations and Optimal Control Theory: A Concise Introduction - Kindle edition by Liberzon, Daniel.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Calculus of Variations and Optimal Control Theory: A Concise Introduction.4/4(10).

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.

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 Price: $ Calculus of Variations and Optimal Control T'heory* by HANS SAGAN Department of Mathematics North Carolina State University, Raleigh, North Carolina ABSTRACT: After an expository account of the nature of the classical Lagrange problem and a modern optimal control problem, a method is outlined which permits the transformation of a large class of optimal control problems with a compact control Author: Hans Sagan.

a primer on the calculus of variations and optimal control theory Download a primer on the calculus of variations and optimal control theory or read online books in PDF, EPUB, Tuebl, and Mobi Format.

Click Download or Read Online button to get a primer on the calculus of variations and optimal control theory book now. This site is like a. This book grew out of my lecture notes for a graduate course on optimal control theory which I taught at the University of Illinois at Urbana-Champaign during the period from to While preparingthe lectures, I have accumulated an entire shelf of textbooks on File Size: 1MB.

About this Item: n/a, n/a. Hardcover. Condition: Good. 1st Edition. Please feel free to request a detailed description. Short description: Young L. Lectures on calculus of variations and theory of optimal control\Iang L. Lekczii po variaczionnomu ishisleniyu i teorii optimalnogo upravleniia, Leningrad We have thousands of titles and often several copies of each title may be available.

Additional Physical Format: Online version: Hestenes, Magnus Rudolph, Calculus of variations and optimal control theory. Huntington, N.Y.: R.E. Krieger Pub. Optimal control theory seeks to find functions that minimize cost integrals for systems described by differential equations.

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.

Calculus of Variations and Optimal Control Theory: A Concise Introduction by Daniel Liberzon ISBN ISBN Hardcover; Princeton, Nj: Princeton University Press, ; ISBN Calculus of variations and optimal control theory. New York, Wiley [] (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Magnus Rudolph Hestenes.

LECTURE NOTES IN CALCULUS OF VARIATIONS AND OPTIMAL CONTROL MSc in Systems and Control Dr George Halikias EEIE, School of Engineering and Mathematical Sciences, City University 4 March 1. Calculus of variations Introduction Calculus of variations in the theory of optimisation of functionals, typically Size: KB.

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.

Designed specifically for a one-semester course, the book begins with calculus of variations, preparing the. 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 and of optimal control theory in Part II.5/5(1).

The major purpose of this book is to present the theoretical ideas and the analytical and numerical methods to enable the reader to understand and efficiently solve these important optimizational first half of this book should serve as the major component of a classical one or two semester course in the calculus of variations and optimal control by: Functional Analysis, Calculus of Variations and Optimal Control is intended to support several di# erent courses at the " rst-year or second-year graduate level, on functional analysis, on the calculus of variations and optimal control, or on some combination.

Functional Analysis, Calculus of Variations and Optimal Control by Francis Clarke,available at Book Depository with free delivery worldwide.

Optimal control theory seeks to find functions that minimize cost integrals for systems described by differential equations. 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.

calculus of variations which can serve as a textbook for undergraduate and beginning graduate students. The main body of Chapter 2 consists of well known results concerning necessary or sufficient criteria for local minimizers, including Lagrange mul-tiplier rules, of .The Euler equation.

A necessary condition for the solution of (). An alternative form of the Euler equation. The Legendre condition. A necessary condition for the solution of ().

Sufficient Author: Peter Berck, Knut Sydsæter.Calculus of Variations and Optimal Control Theory | 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.