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001 978-3-319-52932-5
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020 _a9783319529325
_9978-3-319-52932-5
024 7 _a10.1007/978-3-319-52932-5
_2doi
040 _aISI Library, Kolkata
050 4 _aQA315-316
050 4 _aQA402.3
050 4 _aQA402.5-QA402.6
072 7 _aPBKQ
_2bicssc
072 7 _aMAT005000
_2bisacsh
072 7 _aPBKQ
_2thema
072 7 _aPBU
_2thema
082 0 4 _a515.64
_223
100 1 _aZaslavski, Alexander J.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aDiscrete-Time Optimal Control and Games on Large Intervals
_h[electronic resource] /
_cby Alexander J. Zaslavski.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aX, 398 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Optimization and Its Applications,
_x1931-6828 ;
_v119
520 _aDevoted to the structure of approximate solutions of discrete-time optimal control problems and approximate solutions of dynamic discrete-time two-player zero-sum games, this book presents results on properties of approximate solutions in an interval that is independent lengthwise, for all sufficiently large intervals. Results concerning the so-called turnpike property of optimal control problems and zero-sum games in the regions close to the endpoints of the time intervals are the main focus of this book. The description of the structure of approximate solutions on sufficiently large intervals and its stability will interest graduate students and mathematicians in optimal control and game theory, engineering, and economics. This book begins with a brief overview and moves on to analyze the structure of approximate solutions of autonomous nonconcave discrete-time optimal control Lagrange problems.Next the structures of approximate solutions of autonomous discrete-time optimal control problems that are discrete-time analogs of Bolza problems in calculus of variations are studied. The structures of approximate solutions of two-player zero-sum games are analyzed through standard convexity-concavity assumptions. Finally, turnpike properties for approximate solutions in a class of nonautonomic dynamic discrete-time games with convexity-concavity assumptions are examined.
650 0 _aMathematical optimization.
650 0 _aSystems theory.
650 1 4 _aCalculus of Variations and Optimal Control; Optimization.
_0http://scigraph.springernature.com/things/product-market-codes/M26016
650 2 4 _aSystems Theory, Control.
_0http://scigraph.springernature.com/things/product-market-codes/M13070
650 2 4 _aOperations Research, Management Science.
_0http://scigraph.springernature.com/things/product-market-codes/M26024
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319529318
776 0 8 _iPrinted edition:
_z9783319529332
776 0 8 _iPrinted edition:
_z9783319850191
830 0 _aSpringer Optimization and Its Applications,
_x1931-6828 ;
_v119
856 4 0 _uhttps://doi.org/10.1007/978-3-319-52932-5
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c427254
_d427254