Introduction to the Calculus of Variations and Control with Modern Applications

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Release : 2013-08-28
Genre : Mathematics
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Book Rating : 403/5 ( reviews)

Introduction to the Calculus of Variations and Control with Modern Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to the Calculus of Variations and Control with Modern Applications write by John A. Burns. This book was released on 2013-08-28. Introduction to the Calculus of Variations and Control with Modern Applications available in PDF, EPUB and Kindle. Introduction to the Calculus of Variations and Control with Modern Applications provides the fundamental background required to develop rigorous necessary conditions that are the starting points for theoretical and numerical approaches to modern variational calculus and control problems. The book also presents some classical sufficient conditions a

A Primer on the Calculus of Variations and Optimal Control Theory

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Release : 2009
Genre : Mathematics
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Book Rating : 724/5 ( reviews)

A Primer on the Calculus of Variations and Optimal Control Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Primer on the Calculus of Variations and Optimal Control Theory write by Mike Mesterton-Gibbons. This book was released on 2009. A Primer on the Calculus of Variations and Optimal Control Theory available in PDF, EPUB and Kindle. The calculus of variations is used to find functions that optimize quantities expressed in terms of integrals. 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. It focuses on understanding concepts and how to apply them. The range of potential applications is broad: the calculus of variations and optimal control theory have been widely used in numerous ways in biology, criminology, economics, engineering, finance, management science, and physics. Applications described in this book include cancer chemotherapy, navigational control, and renewable resource harvesting. The prerequisites for the book are modest: the standard calculus sequence, a first course on ordinary differential equations, and some facility with the use of mathematical software. It is suitable for an undergraduate or beginning graduate course, or for self study. It provides excellent preparation for more advanced books and courses on the calculus of variations and optimal control theory.

Introduction to the Calculus of Variations

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Release : 2012-04-26
Genre : Mathematics
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Book Rating : 02X/5 ( reviews)

Introduction to the Calculus of Variations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to the Calculus of Variations write by Hans Sagan. This book was released on 2012-04-26. Introduction to the Calculus of Variations available in PDF, EPUB and Kindle. Provides a thorough understanding of calculus of variations and prepares readers for the study of modern optimal control theory. Selected variational problems and over 400 exercises. Bibliography. 1969 edition.

Calculus of Variations

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Release : 2013-05-20
Genre : Mathematics
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Book Rating : 301/5 ( reviews)

Calculus of Variations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Calculus of Variations write by Charles R. MacCluer. This book was released on 2013-05-20. Calculus of Variations available in PDF, EPUB and Kindle. First truly up-to-date treatment offers a simple introduction to optimal control, linear-quadratic control design, and more. Broad perspective features numerous exercises, hints, outlines, and appendixes, including a practical discussion of MATLAB. 2005 edition.

Calculus of Variations and Optimal Control Theory

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Release : 2012
Genre : Mathematics
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Book Rating : 873/5 ( reviews)

Calculus of Variations and Optimal Control Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Calculus of Variations and Optimal Control Theory write by Daniel Liberzon. This book was released on 2012. Calculus of Variations and Optimal Control Theory available in PDF, EPUB and Kindle. 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