LEADER 02681nam 2200493Ia 450 001 9910438028603321 005 20200520144314.0 010 $a3-319-01240-1 024 7 $a10.1007/978-3-319-01240-7 035 $a(OCoLC)857225517 035 $a(MiFhGG)GVRL6XPR 035 $a(CKB)3710000000015819 035 $a(MiAaPQ)EBC1398637 035 $a(EXLCZ)993710000000015819 100 $a20111102d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aStructure of approximate solutions of optimal control problems /$fAlexander J. Zaslavski 205 $a1st ed. 2013. 210 $aNew York $cSpringer Science$d2013 215 $a1 online resource (vii, 127 pages) 225 0 $aSpringer briefs in optimization 300 $a"ISSN: 2190-8354." 311 $a3-319-01239-8 320 $aIncludes bibliographical references and index. 327 $aPreface -- 1.Introduction -- 2.Turnpike Properties of Optimal Control Problems -- 3.Infinite Horizon Problems -- 4.Linear Control Systems -- References.  . 330 $aThis title examines the structure of approximate solutions of optimal control problems considered on subintervals of a real line. Specifically at the properties of approximate solutions which are independent of the length of the interval. The results illustrated in this book look into the so-called turnpike property of optimal control problems.  The author generalizes the results of the turnpike property by considering  a class of optimal control problems which is identified with the corresponding complete metric space of objective functions. This establishes the turnpike property for any element in a set that is in a countable intersection which is open everywhere dense sets in the space of integrands; meaning that the turnpike property holds for most optimal control problems. Mathematicians working in optimal control and the calculus of variations and graduate students will find this book  useful and valuable due to its  presentation of solutions to a number of difficult problems in optimal control  and presentation of new approaches, techniques and methods. 410 0$aSpringerBriefs in optimization. 606 $aMathematical optimization 606 $aControl theory 615 0$aMathematical optimization. 615 0$aControl theory. 676 $a510 700 $aZaslavski$b Alexander J$0721713 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438028603321 996 $aStructure of Approximate Solutions of Optimal Control Problems$92501401 997 $aUNINA