![]() A course based on this book will be a pleasure to take."-Andrew R. Liberzon nicely balances rigor and accessibility, and provides fascinating historical perspectives and thought-provoking exercises. "A very scholarly and concise introduction to optimal control theory. All in all, it is a first-rate, enjoyable text."-Zvi Artstein, Mathematical Reviews Clippings What impresses me most is the careful balance between the formal derivations and the explanations that precede or accompany the statements and proofs. If you plan to teach a first course to advanced students on the calculus of variations and optimal control and you like the selection of topics that the author has chosen to present (and I do), it is the text you need. "This is an extremely well-crafted textbook. his book is well written, it fully deserves all its goals mentioned at the beginning of the review, and is a pleasure to read it."-Marian Muresan, Mathematica The graphical presentation of the book is pleasant. The author of the book presents a large list of references and a detailed index of notions, names, and symbols. The exercises are merely problems or even theorems. "Each chapter ends with a rich and useful section of notes and references. University of Notre Dame EE 60565: Optimal Control.University of Pennsylvania ESE 680: Optimal Control Theory.Other resources in no particular order are: Lectures on Calculus of Variations and Optimal Control by L.C Young, Mathematical Control Theory by E. For a very deep study of optimal control Athans and Falb is a classic. Georgia Institute of Technology ECE 6553: Optimal Control and Optimization If you want to study just calculus of variations I found Gelfand and Fomin to be pretty good.University of Illinois at Urbana-Champaign ECE 553: Optimum Control Systems.Leading universities that have adopted this book include: Solutions manual (available only to teachers).Traces the historical development of the subject I would suggest that you buy 'calculus or variations' by I.M Gelfand and S.V Fomin(or another text which you think is suitable) and this text together, since, as stated in previous reviews of this book, there is not a good amount of exercises and problems to get good practice.Uses consistent notation in the exposition of classical and modern topics.Provides a complete proof of the maximum principle.Requires limited background in control theory or advanced mathematics.Offers a concise yet rigorous introduction.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.Ĭalculus 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. Designed specifically for a one-semester course, the book begins with calculus of variations, preparing the ground for optimal control. ![]() 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.
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