Calculus of Variations and Optimal Control Theory
Calculus of Variations and Optimal Control Theory

Author: Daniel Liberzon

Publisher: Princeton University Press

Published: 2012

Total Pages: 255

ISBN-13: 0691151873

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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

Optimal Control
Optimal Control

Author: Arturo Locatelli

Publisher: Springer Science & Business Media

Published: 2001-03

Total Pages: 318

ISBN-13: 9783764364083

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From the reviews: "The style of the book reflects the author’s wish to assist in the effective learning of optimal control by suitable choice of topics, the mathematical level used, and by including numerous illustrated examples. . . .In my view the book suits its function and purpose, in that it gives a student a comprehensive coverage of optimal control in an easy-to-read fashion." —Measurement and Control

Necessary Conditions in Dynamic Optimization
Necessary Conditions in Dynamic Optimization

Author: Francis Clarke

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 130

ISBN-13: 0821835912

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A monograph that derives necessary conditions of optimality for a general control problem formulated in terms of a differential inclusion. It expresses The Euler, Weierstrass and transversality conditions.

Dynamic Optimization, Second Edition
Dynamic Optimization, Second Edition

Author: Morton I. Kamien

Publisher: Courier Corporation

Published: 2013-04-17

Total Pages: 402

ISBN-13: 0486310280

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Since its initial publication, this text has defined courses in dynamic optimization taught to economics and management science students. The two-part treatment covers the calculus of variations and optimal control. 1998 edition.

Primer on Optimal Control Theory
Primer on Optimal Control Theory

Author: Jason L. Speyer

Publisher: SIAM

Published: 2010-05-13

Total Pages: 316

ISBN-13: 0898716942

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A rigorous introduction to optimal control theory, which will enable engineers and scientists to put the theory into practice.

Variational Calculus and Optimal Control
Variational Calculus and Optimal Control

Author: John L. Troutman

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 471

ISBN-13: 1461207371

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An introduction to the variational methods used to formulate and solve mathematical and physical problems, allowing the reader an insight into the systematic use of elementary (partial) convexity of differentiable functions in Euclidian space. By helping students directly characterize the solutions for many minimization problems, the text serves as a prelude to the field theory for sufficiency, laying as it does the groundwork for further explorations in mathematics, physics, mechanical and electrical engineering, as well as computer science.

Optimal Control: Novel Directions and Applications
Optimal Control: Novel Directions and Applications

Author: Daniela Tonon

Publisher: Springer

Published: 2017-09-01

Total Pages: 399

ISBN-13: 3319607715

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Focusing on applications to science and engineering, this book presents the results of the ITN-FP7 SADCO network’s innovative research in optimization and control in the following interconnected topics: optimality conditions in optimal control, dynamic programming approaches to optimal feedback synthesis and reachability analysis, and computational developments in model predictive control. The novelty of the book resides in the fact that it has been developed by early career researchers, providing a good balance between clarity and scientific rigor. Each chapter features an introduction addressed to PhD students and some original contributions aimed at specialist researchers. Requiring only a graduate mathematical background, the book is self-contained. It will be of particular interest to graduate and advanced undergraduate students, industrial practitioners and to senior scientists wishing to update their knowledge.