LEADER 05786nam 22008535 450 001 9910300256703321 005 20200702161929.0 010 $a3-319-06917-9 024 7 $a10.1007/978-3-319-06917-3 035 $a(CKB)3710000000521680 035 $a(EBL)4082017 035 $a(SSID)ssj0001584842 035 $a(PQKBManifestationID)16265399 035 $a(PQKBTitleCode)TC0001584842 035 $a(PQKBWorkID)14864473 035 $a(PQKB)11415116 035 $a(DE-He213)978-3-319-06917-3 035 $a(MiAaPQ)EBC4082017 035 $a(PPN)19052460X 035 $a(EXLCZ)993710000000521680 100 $a20150808d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAnalysis and Geometry in Control Theory and its Applications /$fedited by Piernicola Bettiol, Piermarco Cannarsa, Giovanni Colombo, Monica Motta, Franco Rampazzo 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (242 p.) 225 1 $aSpringer INdAM Series,$x2281-518X ;$v11 300 $aDescription based upon print version of record. 311 $a3-319-06916-0 320 $aIncludes bibliographical references at the end of each chapters. 327 $a1 Generalized Lax-Hopf formulas for Cournot Maps and Hamilton-Jacobi-McKendrick Equations, Jean-Pierre Aubin and Chen Luxi -- 2 A geometric approach to the optimal control of nonholonomic mechanical systems, Anthony Bloch, Leonardo Colombo, Rohit Gupta and David Martin de Diego -- 3 Lunar perturbation of the metric associated to the averaged orbital transfer, Bernard Bonnard, Helen Henninger and Jeremy Rouot -- 4 Conjugate times and regularity of the minimum time function with differential inclusions, Piermarco Cannarsa and Teresa Scarinci -- 5 Weak solutions for first order mean field games with local coupling, Pierre Cardaliaguet -- 6 omega-limit sets for differential inclusions, Asen L. Dontchev, Mikhail I. Krastanov and Vladimir M. Veliov -- 7 Second-Order Necessary Optimality Conditions for the Mayer Problem Subject to a General Control Constraint, Helene Frankowska and Nikolai P. Osmolovskii -- 8 Optimal Control of Cancer Treatments: Mathematical Models for the Tumor Microenvironment, Heinz Schaettler and Urszula Ledzewicz. 330 $aSince the 1950s control theory has established itself as a major mathematical discipline, particularly suitable for application in a number of research fields, including advanced engineering design, economics and the medical sciences. However, since its emergence, there has been a need to rethink and extend fields such as calculus of variations, differential geometry and nonsmooth analysis, which are closely tied to research on applications. Today control theory is a rich source of basic abstract problems arising from applications, and provides an important frame of reference for investigating purely mathematical issues. In many fields of mathematics, the huge and growing scope of activity has been accompanied by fragmentation into a multitude of narrow specialties. However, outstanding advances are often the result of the quest for unifying themes and a synthesis of different approaches. Control theory and its applications are no exception. Here, the interaction between analysis and geometry has played a crucial role in the evolution of the field. This book collects some recent results, highlighting geometrical and analytical aspects and the possible connections between them. Applications provide the background, in the classical spirit of mutual interplay between abstract theory and problem-solving practice. 410 0$aSpringer INdAM Series,$x2281-518X ;$v11 606 $aCalculus of variations 606 $aSystem theory 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aControl engineering 606 $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016 606 $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010 615 0$aCalculus of variations. 615 0$aSystem theory. 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aControl engineering. 615 14$aCalculus of Variations and Optimal Control; Optimization. 615 24$aSystems Theory, Control. 615 24$aAnalysis. 615 24$aApplications of Mathematics. 615 24$aControl and Systems Theory. 676 $a515.642 702 $aBettiol$b Piernicola$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aCannarsa$b Piermarco$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aColombo$b Giovanni$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMotta$b Monica$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRampazzo$b Franco$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300256703321 996 $aAnalysis and geometry in control theory and its applications$91522500 997 $aUNINA