LEADER 03879nam 22007215 450 001 9910300113203321 005 20200701035840.0 010 $a3-319-94791-5 024 7 $a10.1007/978-3-319-94791-4 035 $a(CKB)4100000005323278 035 $a(DE-He213)978-3-319-94791-4 035 $a(MiAaPQ)EBC5477786 035 $z(PPN)258862696 035 $a(PPN)229503780 035 $a(EXLCZ)994100000005323278 100 $a20180727d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeometric and Numerical Optimal Control $eApplication to Swimming at Low Reynolds Number and Magnetic Resonance Imaging /$fby Bernard Bonnard, Monique Chyba, Jérémy Rouot 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (XV, 108 p. 47 illus., 40 illus. in color.) 225 1 $aSpringerBriefs in Mathematics,$x2191-8198 311 $a3-319-94790-7 320 $aIncludes bibliographical references. 327 $a1 Historical part - Calculus of variations -- 2 Weak Maximum Principle and Application to Swimming at low Reynolds Number -- 3 Maximum Principle and Application to NMR and MRI -- 4 Conclusion. 330 $aThis book introduces readers to techniques of geometric optimal control as well as the exposure and applicability of adapted numerical schemes. It is based on two real-world applications, which have been the subject of two current academic research programs and motivated by industrial use ? the design of micro-swimmers and the contrast problem in medical resonance imaging. The recently developed numerical software has been applied to the cases studies presented here. The book is intended for use at the graduate and Ph.D. level to introduce students from applied mathematics and control engineering to geometric and computational techniques in optimal control. 410 0$aSpringerBriefs in Mathematics,$x2191-8198 606 $aCalculus of variations 606 $aNeurosciences 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aMathematical models 606 $aBioinformatics  606 $aComputational biology  606 $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016 606 $aNeurosciences$3https://scigraph.springernature.com/ontologies/product-market-codes/B18006 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aComputer Appl. in Life Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/L17004 615 0$aCalculus of variations. 615 0$aNeurosciences. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aMathematical models. 615 0$aBioinformatics . 615 0$aComputational biology . 615 14$aCalculus of Variations and Optimal Control; Optimization. 615 24$aNeurosciences. 615 24$aApplications of Mathematics. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aComputer Appl. in Life Sciences. 676 $a515.64 700 $aBonnard$b Bernard$4aut$4http://id.loc.gov/vocabulary/relators/aut$0768258 702 $aChyba$b Monique$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aRouot$b Jérémy$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910300113203321 996 $aGeometric and Numerical Optimal Control$92272615 997 $aUNINA