03049nam 2200613 450 99646658680331620220304145022.03-540-46755-610.1007/BFb0085564(CKB)1000000000437060(SSID)ssj0000325406(PQKBManifestationID)12087641(PQKBTitleCode)TC0000325406(PQKBWorkID)10325000(PQKB)10842852(DE-He213)978-3-540-46755-7(MiAaPQ)EBC5594966(Au-PeEL)EBL5594966(OCoLC)1076236517(MiAaPQ)EBC6842683(Au-PeEL)EBL6842683(OCoLC)793079238(PPN)155203479(EXLCZ)99100000000043706020220304d1990 uy 0engurnn|008mamaatxtccrOptimal control of nonsmooth distributed parameter systems /Dan Tiba1st ed. 1990.Berlin :Springer,[1990]©19901 online resource (VIII, 160 p.) Lecture Notes in Mathematics,0075-8434 ;1459Bibliographic Level Mode of Issuance: Monograph3-540-53524-1 Elements of nonlinear analysis -- Semilinear equations -- Variational inequalities -- Free boundary problems.The 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.Lecture Notes in Mathematics,0075-8434 ;1459Control theoryData processingMathematical optimizationComputer programsControl theoryData processing.Mathematical optimizationComputer programs.629.8312Tiba Dan1953-59920MiAaPQMiAaPQMiAaPQBOOK996466586803316Optimal control of nonsmooth distributed parameter systems78678UNISA