LEADER 03049nam 2200613 450 001 996466586803316 005 20220304145022.0 010 $a3-540-46755-6 024 7 $a10.1007/BFb0085564 035 $a(CKB)1000000000437060 035 $a(SSID)ssj0000325406 035 $a(PQKBManifestationID)12087641 035 $a(PQKBTitleCode)TC0000325406 035 $a(PQKBWorkID)10325000 035 $a(PQKB)10842852 035 $a(DE-He213)978-3-540-46755-7 035 $a(MiAaPQ)EBC5594966 035 $a(Au-PeEL)EBL5594966 035 $a(OCoLC)1076236517 035 $a(MiAaPQ)EBC6842683 035 $a(Au-PeEL)EBL6842683 035 $a(OCoLC)793079238 035 $a(PPN)155203479 035 $a(EXLCZ)991000000000437060 100 $a20220304d1990 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aOptimal control of nonsmooth distributed parameter systems /$fDan Tiba 205 $a1st ed. 1990. 210 1$aBerlin :$cSpringer,$d[1990] 210 4$dİ1990 215 $a1 online resource (VIII, 160 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1459 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-53524-1 327 $aElements of nonlinear analysis -- Semilinear equations -- Variational inequalities -- Free boundary problems. 330 $aThe book is devoted to the study of distributed control problems governed by various nonsmooth state systems. The main questions investigated include: existence of optimal pairs, first order optimality conditions, state-constrained systems, approximation and discretization, bang-bang and regularity properties for optimal control. In order to give the reader a better overview of the domain, several sections deal with topics that do not enter directly into the announced subject: boundary control, delay differential equations. In a subject still actively developing, the methods can be more important than the results and these include: adapted penalization techniques, the singular control systems approach, the variational inequality method, the Ekeland variational principle. Some prerequisites relating to convex analysis, nonlinear operators and partial differential equations are collected in the first chapter or are supplied appropriately in the text. The monograph is intended for graduate students and for researchers interested in this area of mathematics. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1459 606 $aControl theory$xData processing 606 $aMathematical optimization$xComputer programs 615 0$aControl theory$xData processing. 615 0$aMathematical optimization$xComputer programs. 676 $a629.8312 700 $aTiba$b Dan$f1953-$059920 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466586803316 996 $aOptimal control of nonsmooth distributed parameter systems$978678 997 $aUNISA