LEADER 01081nam--2200373---4500 001 990000833110203316 005 20050727102914.0 010 $a0-333-45916-4 035 $a0083311 035 $aUSA010083311 035 $a(ALEPH)000083311USA01 035 $a0083311 100 $a20020103d1990----km-y0ENGy0103----ba 101 $aeng 102 $aUS 200 1 $a<> Dr Johnson chronology$fNorman Page 210 $aBasingstoke$cMacmillan$d1990 215 $aXV, 136 p.$d23 cm 225 2 $aMacmillan author chronologies 410 $12001$aMacmillan author chronologies 606 $aJohnson, Samuel$xBiografia 676 $a828.6 700 1$aPAGE,$bNorman$0385008 801 0$aIT$bsalbc$gISBD 912 $a990000833110203316 951 $aVII.3.A. 1878(II i B 874)$b105509 LM$cII i B 959 $aBK 969 $aUMA 979 $aPATTY$b90$c20020103$lUSA01$h0921 979 $c20020403$lUSA01$h1729 979 $aPATRY$b90$c20040406$lUSA01$h1657 979 $aCOPAT3$b90$c20050727$lUSA01$h1029 996 $aDr Johnson chronology$9967625 997 $aUNISA LEADER 04249nam 22007575 450 001 9910503005803321 005 20251202170657.0 010 $a3-030-82139-0 024 7 $a10.1007/978-3-030-82139-5 035 $a(CKB)4100000012026410 035 $a(MiAaPQ)EBC6726406 035 $a(Au-PeEL)EBL6726406 035 $a(OCoLC)1268325965 035 $a(PPN)258058196 035 $a(BIP)81571440 035 $a(BIP)80709012 035 $a(DE-He213)978-3-030-82139-5 035 $a(EXLCZ)994100000012026410 100 $a20210913d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aOptimal Control of Dynamic Systems Driven by Vector Measures $eTheory and Applications /$fby N. U. Ahmed, Shian Wang 205 $a1st ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021. 215 $a1 online resource (328 pages) 311 08$a3-030-82138-2 320 $aIncludes bibliographical references and index. 327 $a1 Mathematical Preliminaries -- 2 Linear Systems -- 3 Nonlinear Systems -- 4 Optimal Control: Existence Theory -- Optimal Control: Necessary Conditions of Optimality -- 6 Stochastic Systems Controlled by Vector Measures -- 7 Applications to Physical Examples -- Bibliography -- Index. 330 $aThis book is devoted to the development of optimal control theory for finite dimensional systems governed by deterministic and stochastic differential equations driven by vector measures. The book deals with a broad class of controls, including regular controls (vector-valued measurable functions), relaxed controls (measure-valued functions) and controls determined by vector measures, where both fully and partially observed control problems are considered. In the past few decades, there have been remarkable advances in the field of systems and control theory thanks to the unprecedented interaction between mathematics and the physical and engineering sciences. Recently, optimal control theory for dynamic systems driven by vector measures has attracted increasing interest. This book presents this theory for dynamic systems governed by both ordinary and stochastic differential equations, including extensive results on the existence of optimal controls and necessary conditions for optimality. Computational algorithms are developed based on the optimality conditions, with numerical results presented to demonstrate the applicability of the theoretical results developed in the book. This book will be of interest to researchers in optimal control or applied functional analysis interested in applications of vector measures to control theory, stochastic systems driven by vector measures, and related topics. In particular, this self-contained account can be a starting point for further advances in the theory and applications of dynamic systems driven and controlled by vector measures. 606 $aDifferential equations 606 $aStochastic processes 606 $aSystem theory 606 $aControl theory 606 $aMathematical optimization 606 $aCalculus of variations 606 $aMathematical analysis 606 $aDifferential Equations 606 $aStochastic Systems and Control 606 $aSystems Theory, Control 606 $aCalculus of Variations and Optimization 606 $aAnalysis 615 0$aDifferential equations. 615 0$aStochastic processes. 615 0$aSystem theory. 615 0$aControl theory. 615 0$aMathematical optimization. 615 0$aCalculus of variations. 615 0$aMathematical analysis. 615 14$aDifferential Equations. 615 24$aStochastic Systems and Control. 615 24$aSystems Theory, Control. 615 24$aCalculus of Variations and Optimization. 615 24$aAnalysis. 676 $a629.8312 700 $aAhmed$b N. U$g(Nasir Uddin),$0848296 702 $aWang$b Shian 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910503005803321 996 $aOptimal Control of Dynamic Systems Driven by Vector Measures$92556514 997 $aUNINA