LEADER 03735nam 2200553 450 001 996466413103316 005 20231110213338.0 010 $a3-030-69913-7 024 7 $a10.1007/978-3-030-69913-0 035 $a(OCoLC)1253352997 035 $a(MiAaPQ)EBC6631349 035 $a(PPN)255882246 035 $a(EXLCZ)994100000011946725 100 $a20220129d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aApplied and computational optimal control $ea control parametrization approach /$fKok Lay Teo, Bin Li, Changjun Yu, Volker Rehbock 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$d©2021 215 $a1 online resource (581 pages) 225 1 $aSpringer Optimization and Its Applications ;$vv.171 320 $aIncludes bibliographical references. 327 $a1 Introduction -- 2 Unconstrained Optimization Techniques -- 3 Constrained Mathematical Programming -- 4 Optimization Problems Subject to Continuous Inequality Constraints -- 5 Discrete Time Optimal Control Problems -- 6 Elements of Optimal Control Theory -- 7 Gradient Formulae for Optimal Parameter Selection Problems -- 8 Control Parametrization for Canonical Optimal Control Problems -- 9 Optimal Control Problems with State and Control Constraints -- 10 Time-Lag Optimal Control Problems -- 11 Feedback Control -- 12 On Some Special Classes of Stochastic Optimal Control Problems -- A.1 Elements of Mathematical Analysis -- A.2 Global Optimization via Filled Function Approach -- A.3 Elements of Probability Theory 330 $aThe aim of this book is to furnish the reader with a rigorous and detailed exposition of the concept of control parametrization and time scaling transformation. It presents computational solution techniques for a special class of constrained optimal control problems as well as applications to some practical examples. The book may be considered an extension of the 1991 monograph A Uni?ed Computational Approach Optimal Control Problems, by K.L. Teo, C.J. Goh, and K.H. Wong. This publication discusses the development of new theory and computational methods for solving various optimal control problems numerically and in a unified fashion. To keep the book accessible and uniform, it includes those results developed by the authors, their students, and their past and present collaborators. A brief review of methods that are not covered in this exposition, is also included. Knowledge gained from this book may inspire advancement of new techniques to solve complex problems that arise in the future. This book is intended as reference for researchers in mathematics, engineering, and other sciences, graduate students and practitioners who apply optimal control methods in their work. It may be appropriate reading material for a graduate level seminar or as a text for a course in optimal control. 410 0$aSpringer Optimization and Its Applications 606 $aConstrained optimization 606 $aControl theory$xMathematics 606 $aTeoria de control$2thub 606 $aOptimització matemàtica$2thub 608 $aLlibres electrònics$2thub 615 0$aConstrained optimization. 615 0$aControl theory$xMathematics. 615 7$aTeoria de control 615 7$aOptimització matemàtica 676 $a519.6 700 $aTeo$b K. L.$014369 702 $aLi$b Bin 702 $aYu$b Changjun 702 $aRehock$b Volker 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466413103316 996 $aApplied and computational optimal control$92586697 997 $aUNISA