000739343 000__ 04407cam\a2200529Ii\4500 000739343 001__ 739343 000739343 005__ 20230306141214.0 000739343 006__ m\\\\\o\\d\\\\\\\\ 000739343 007__ cr\cn\nnnunnun 000739343 008__ 151222s2015\\\\sz\a\\\\ob\\\\000\0\eng\d 000739343 020__ $$a9783319069173$$qelectronic book 000739343 020__ $$a3319069179$$qelectronic book 000739343 020__ $$z9783319069166 000739343 020__ $$z3319069160 000739343 0247_ $$a10.1007/978-3-319-06917-3$$2doi 000739343 035__ $$aSP(OCoLC)ocn933300870 000739343 035__ $$aSP(OCoLC)933300870 000739343 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dOCLCO$$dYDXCP$$dCOO 000739343 049__ $$aISEA 000739343 050_4 $$aQA402.3$$b.A5424 2015eb 000739343 08204 $$a629.8/312$$223 000739343 24500 $$aAnalysis and geometry in control theory and its applications$$h[electronic resource] /$$cPiernicola Bettiol, Piermarco Cannarsa, Giovanni Colombo, Monica Motta, Franco Rampazzo, editors. 000739343 264_1 $$aCham :$$bSpringer,$$c[2015] 000739343 264_4 $$c©2015 000739343 300__ $$a1 online resource (ix, 235 pages) :$$billustrations. 000739343 336__ $$atext$$btxt$$2rdacontent 000739343 337__ $$acomputer$$bc$$2rdamedia 000739343 338__ $$aonline resource$$bcr$$2rdacarrier 000739343 4901_ $$aSpringer INdAM series,$$x2281-518x ;$$vvolume 11 000739343 504__ $$aIncludes bibliographical references. 000739343 5050_ $$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. 000739343 506__ $$aAccess limited to authorized users. 000739343 520__ $$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. 000739343 588__ $$aDescription based on print version record. 000739343 650_0 $$aControl theory$$xMathematical models. 000739343 650_0 $$aGeometry. 000739343 7001_ $$aBettiol, Piernicola,$$eeditor. 000739343 7001_ $$aCannarsa, Piermarco,$$d1957-$$eeditor. 000739343 7001_ $$aColombo, Giovanni,$$d1958-$$eeditor. 000739343 7001_ $$aMotta, Monica,$$eeditor. 000739343 7001_ $$aRampazzo, Franco,$$eeditor. 000739343 77608 $$iPrint version:$$tAnalysis and geometry in control theory and its applications$$z9783319069166$$w(DLC) 2015947958$$w(OCoLC)907193409 000739343 830_0 $$aSpringer INdAM series ;$$vv. 11. 000739343 85280 $$bebk$$hSpringerLink 000739343 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-06917-3$$zOnline Access$$91397441.1 000739343 909CO $$ooai:library.usi.edu:739343$$pGLOBAL_SET 000739343 980__ $$aEBOOK 000739343 980__ $$aBIB 000739343 982__ $$aEbook 000739343 983__ $$aOnline 000739343 994__ $$a92$$bISE