LEADER 04043nam 22007695 450 001 9911007089303321 005 20250707224024.0 010 $a9781680159080 010 $a1680159089 010 $a9781400842643 010 $a1400842646 024 7 $a10.1515/9781400842643 035 $a(CKB)2670000000138791 035 $a(EBL)827804 035 $a(OCoLC)769343167 035 $a(SSID)ssj0000633003 035 $a(PQKBManifestationID)12199832 035 $a(PQKBTitleCode)TC0000633003 035 $a(PQKBWorkID)10616452 035 $a(PQKB)10698886 035 $a(MiAaPQ)EBC827804 035 $a(DE-B1597)528149 035 $a(OCoLC)1109196065 035 $a(DE-B1597)9781400842643 035 $a(PPN)17025951X 035 $a(Perlego)735525 035 $a(FR-PaCSA)88807822 035 $a(FRCYB88807822)88807822 035 $a(EXLCZ)992670000000138791 100 $a20191022d2011 fg 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCalculus of Variations and Optimal Control Theory $eA Concise Introduction /$fDaniel Liberzon 210 1$aPrinceton, NJ :$cPrinceton University Press,$d[2011] 210 4$dİ2012 215 $a1 online resource (254 p.) 300 $aDescription based upon print version of record. 311 08$a9780691151878 311 08$a0691151873 320 $aIncludes bibliographical references (pages 225-230) and index. 327 $tFrontmatter --$tContents --$tPreface --$tChapter One. Introduction --$tChapter Two. Calculus of Variations --$tChapter Three. From Calculus of Variations to Optimal Control --$tChapter Four. The Maximum Principle --$tChapter Five. The Hamilton-Jacobi-Bellman Equation --$tChapter Six. The Linear Quadratic Regulator --$tChapter Seven. Advanced Topics --$tBibliography --$tIndex 330 $aThis 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 606 $aCalculus of variations 606 $aControl theory 606 $aCalculus of variations$2fast 606 $aControl theory$2fast 606 $aVariationsrechnung$2gnd 606 $aOptimale Kontrolle$2gnd 615 0$aCalculus of variations. 615 0$aControl theory. 615 7$aCalculus of variations. 615 7$aControl theory. 615 07$aVariationsrechnung. 615 07$aOptimale Kontrolle. 676 $a515.64 686 $aSK 660$2rvk 686 $aMAT 490f$2stub 700 $aLiberzon$b Daniel$01822092 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9911007089303321 996 $aCalculus of Variations and Optimal Control Theory$94388151 997 $aUNINA