MARC Record from Library of Congress

LEADER: 02494cam a2200361 i 4500
001 2013943267
003 DLC
005 20151006080356.0
008 130619t20132013nyu b 001 0 eng d
010 $a 2013943267
020 $a9783319012391
020 $z9783319012407 (ebook)
035 $a(OCoLC)ocn847348536
040 $aYDXCP$beng$cYDXCP$erda$dBTCTA$dCDX$dIXA$dMUU$dOCLCF$dDLC
042 $alccopycat
050 00 $aQA402.5$b.Z37 2013
100 1 $aZaslavski, Alexander J.,$eauthor.
245 10 $aStructure of approximate solutions of optimal control problems /$cAlexander J. Zaslavski.
264 1 $aNew York :$bSpringer,$c[2013]
264 4 $c©2013
300 $avii, 127 pages ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aSpringerBriefs in optimization,$x2190-8354
504 $aIncludes bibliographical references (pages 125-126) and index.
520 $aThis title examines the structure of approximate solutions of optimal control problems considered on subintervals of a real line. Specifically at the properties of approximate solutions which are independent of the length of the interval. The results illustrated in this book look into the so-called turnpike property of optimal control problems. The author generalizes the results of the turnpike property by considering a class of optimal control problems which is identified with the corresponding complete metric space of objective functions. This establishes the turnpike property for any element in a set that is in a countable intersection which is open everywhere dense sets in the space of integrands; meaning that the turnpike property holds for most optimal control problems. Mathematicians working in optimal control and the calculus of variations and graduate students will find this book useful and valuable due to its presentation of solutions to a number of difficult problems in optimal control and presentation of new approaches, techniques and methods.
505 0 $aTurnpike Properties of Optimal Control Problems -- Infinite Horizon Problems -- Linear Control Systems.
650 0 $aMathematical optimization.
650 0 $aCalculus of variations.
830 0 $aSpringerBriefs in optimization,$x2190-8354
856 42 $3Publisher description$uhttp://www.loc.gov/catdir/enhancements/fy1410/2013943267-d.html
856 41 $3Table of contents only$uhttp://www.loc.gov/catdir/enhancements/fy1410/2013943267-t.html