000 03151nam a22005175i 4500
001 978-3-540-46755-7
003 DE-He213
005 20190213151206.0
007 cr nn 008mamaa
008 121227s1990 gw | s |||| 0|eng d
020 _a9783540467557
_9978-3-540-46755-7
024 7 _a10.1007/BFb0085564
_2doi
050 4 _aQ295
050 4 _aQA402.3-402.37
072 7 _aGPFC
_2bicssc
072 7 _aSCI064000
_2bisacsh
072 7 _aGPFC
_2thema
082 0 4 _a519
_223
100 1 _aTiba, Dan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aOptimal Control of Nonsmooth Distributed Parameter Systems
_h[electronic resource] /
_cby Dan Tiba.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1990.
300 _aVIII, 160 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1459
505 0 _aElements of nonlinear analysis -- Semilinear equations -- Variational inequalities -- Free boundary problems.
520 _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.
650 0 _aSystems theory.
650 0 _aMathematical optimization.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aSystems Theory, Control.
_0http://scigraph.springernature.com/things/product-market-codes/M13070
650 2 4 _aCalculus of Variations and Optimal Control; Optimization.
_0http://scigraph.springernature.com/things/product-market-codes/M26016
650 2 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662165072
776 0 8 _iPrinted edition:
_z9783540535249
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1459
856 4 0 _uhttps://doi.org/10.1007/BFb0085564
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c9835
_d9835