LEADER 04619nam 2200853Ia 450 001 9910456747503321 005 20200520144314.0 010 $a1-282-45796-9 010 $a1-282-93606-9 010 $a9786612936067 010 $a9786612457968 010 $a1-4008-3387-6 024 7 $a10.1515/9781400833870 035 $a(CKB)2520000000006994 035 $a(EBL)485767 035 $a(OCoLC)638859365 035 $a(SSID)ssj0000457488 035 $a(PQKBManifestationID)11924193 035 $a(PQKBTitleCode)TC0000457488 035 $a(PQKBWorkID)10415122 035 $a(PQKB)10475185 035 $a(MiAaPQ)EBC485767 035 $a(DE-B1597)446610 035 $a(OCoLC)979779564 035 $a(DE-B1597)9781400833870 035 $a(MiAaPQ)EBC4968557 035 $a(Au-PeEL)EBL485767 035 $a(CaPaEBR)ebr10364743 035 $a(CaONFJC)MIL293606 035 $a(Au-PeEL)EBL4968557 035 $a(CaONFJC)MIL245796 035 $a(OCoLC)1027190663 035 $a(EXLCZ)992520000000006994 100 $a20090901d2010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aControl theoretic splines$b[electronic resource] $eoptimal control, statistics, and path planning /$fMagnus Egerstedt and Clyde Martin 205 $aCourse Book 210 $aPrinceton $cPrinceton University Press$dc2010 215 $a1 online resource (227 p.) 225 1 $aPrinceton series in applied mathematics 300 $aDescription based upon print version of record. 311 $a0-691-13296-8 320 $aIncludes bibliographical references and index. 327 $t Frontmatter -- $tContents -- $tPreface -- $tChapter One. Introduction -- $tChapter Two. Control Systems and Minimum Norm Problems -- $tChapter Three. Eight Fundamental Problems -- $tChapter Four. Smoothing Splines and Generalizations -- $tChapter Five. Approximations and Limiting Concepts -- $tChapter Six. Smoothing Splines with Continuous Data -- $tChapter Seven. Monotone Smoothing Splines -- $tChapter Eight. Smoothing Splines as Integral Filters -- $tChapter Nine. Optimal Transfer between Affine Varieties -- $tChapter Ten. Path Planning and Telemetry -- $tChapter Eleven. Node Selection -- $tBibliography -- $tIndex 330 $aSplines, both interpolatory and smoothing, have a long and rich history that has largely been application driven. This book unifies these constructions in a comprehensive and accessible way, drawing from the latest methods and applications to show how they arise naturally in the theory of linear control systems. Magnus Egerstedt and Clyde Martin are leading innovators in the use of control theoretic splines to bring together many diverse applications within a common framework. In this book, they begin with a series of problems ranging from path planning to statistics to approximation. Using the tools of optimization over vector spaces, Egerstedt and Martin demonstrate how all of these problems are part of the same general mathematical framework, and how they are all, to a certain degree, a consequence of the optimization problem of finding the shortest distance from a point to an affine subspace in a Hilbert space. They cover periodic splines, monotone splines, and splines with inequality constraints, and explain how any finite number of linear constraints can be added. This book reveals how the many natural connections between control theory, numerical analysis, and statistics can be used to generate powerful mathematical and analytical tools. This book is an excellent resource for students and professionals in control theory, robotics, engineering, computer graphics, econometrics, and any area that requires the construction of curves based on sets of raw data. 410 0$aPrinceton series in applied mathematics. 606 $aInterpolation 606 $aSmoothing (Numerical analysis) 606 $aSmoothing (Statistics) 606 $aCurve fitting 606 $aSplines 606 $aSpline theory 608 $aElectronic books. 615 0$aInterpolation. 615 0$aSmoothing (Numerical analysis) 615 0$aSmoothing (Statistics) 615 0$aCurve fitting. 615 0$aSplines. 615 0$aSpline theory. 676 $a511/.42 686 $aSK 880$2rvk 700 $aEgerstedt$b Magnus$0771533 701 $aMartin$b Clyde$058749 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910456747503321 996 $aControl theoretic splines$92450877 997 $aUNINA LEADER 01050nam a22002651i 4500 001 991000660739707536 005 20021022143424.0 008 021022s1981 it |||||||||||||||||ita 035 $ab1203681x-39ule_inst 035 $aARCHE-012661$9ExL 040 $aDip.to Filologia Ling. e Lett.$bita$cA.t.i. Arché s.c.r.l. Pandora Sicilia s.r.l. 082 04$a853.9120 100 1 $aSantoro, Mario$0293571 245 12$aL'uomo nel labirinto :$bsaggi sulla narrativa italiana del Novecento /$cMario Santoro 260 $aNapoli :$bFederico & Ardia,$cstampa 1981 300 $a197 p. ;$c24 cm 490 0 $aStudi e testi di letteratura italiana 650 4$aLetteratura narrativa italiana$y1910-1930 650 4$aRomanzi italiani$y1910-1930 907 $a.b1203681x$b28-04-17$c01-04-03 912 $a991000660739707536 945 $aLE008 FL.M. VI L 124$g1$iLE008A-04497$lle008$o-$pE0.00$q-$rl$s- $t0$u0$v0$w0$x0$y.i1232842x$z01-04-03 996 $aUomo nel labirinto$9141927 997 $aUNISALENTO 998 $ale008$b01-04-03$cm$da $e-$fita$git $h2$i1