04043nam 22007695 450 991100708930332120250707224024.0978168015908016801590899781400842643140084264610.1515/9781400842643(CKB)2670000000138791(EBL)827804(OCoLC)769343167(SSID)ssj0000633003(PQKBManifestationID)12199832(PQKBTitleCode)TC0000633003(PQKBWorkID)10616452(PQKB)10698886(MiAaPQ)EBC827804(DE-B1597)528149(OCoLC)1109196065(DE-B1597)9781400842643(PPN)17025951X(Perlego)735525(FR-PaCSA)88807822(FRCYB88807822)88807822(EXLCZ)99267000000013879120191022d2011 fg engur|n|---|||||txtccrCalculus of Variations and Optimal Control Theory A Concise Introduction /Daniel LiberzonPrinceton, NJ :Princeton University Press,[2011]©20121 online resource (254 p.)Description based upon print version of record.9780691151878 0691151873 Includes bibliographical references (pages 225-230) and index.Frontmatter --Contents --Preface --Chapter One. Introduction --Chapter Two. Calculus of Variations --Chapter Three. From Calculus of Variations to Optimal Control --Chapter Four. The Maximum Principle --Chapter Five. The Hamilton-Jacobi-Bellman Equation --Chapter Six. The Linear Quadratic Regulator --Chapter Seven. Advanced Topics --Bibliography --IndexThis 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 ControlCalculus of variationsControl theoryCalculus of variationsfastControl theoryfastVariationsrechnunggndOptimale KontrollegndCalculus of variations.Control theory.Calculus of variations.Control theory.Variationsrechnung.Optimale Kontrolle.515.64SK 660rvkMAT 490fstubLiberzon Daniel1822092DE-B1597DE-B1597BOOK9911007089303321Calculus of Variations and Optimal Control Theory4388151UNINA