LEADER 05962nam 22007455 450 001 9910299988103321 005 20200630053427.0 010 $a3-319-02132-X 024 7 $a10.1007/978-3-319-02132-4 035 $a(CKB)3710000000125811 035 $a(EBL)1782103 035 $a(SSID)ssj0001275845 035 $a(PQKBManifestationID)11746170 035 $a(PQKBTitleCode)TC0001275845 035 $a(PQKBWorkID)11255971 035 $a(PQKB)10194895 035 $a(MiAaPQ)EBC1782103 035 $a(DE-He213)978-3-319-02132-4 035 $a(PPN)179764977 035 $a(EXLCZ)993710000000125811 100 $a20140605d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGeometric Control Theory and Sub-Riemannian Geometry /$fedited by Gianna Stefani, Ugo Boscain, Jean-Paul Gauthier, Andrey Sarychev, Mario Sigalotti 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (385 p.) 225 1 $aSpringer INdAM Series,$x2281-518X ;$v5 300 $aDescription based upon print version of record. 311 $a1-322-13367-0 311 $a3-319-02131-1 320 $aIncludes bibliographical references at the end of each chapters. 327 $a1 A. A. Agrachev - Some open problems -- 2 D. Barilari, A. Lerario - Geometry of Maslov cycles -- 3 Y. Baryshnikov, B. Shapiro - How to Run a Centipede: a Topological Perspective -- 4 B. Bonnard, O. Cots, L. Jassionnesse - Geometric and numerical techniques to compute conjugate and cut loci on Riemannian surfaces -- 5 J-B. Caillau, C. Royer - On the injectivity and nonfocal domains of the ellipsoid of revolution -- 6 P. Cannarsa, R. Guglielmi - Null controllability in large time for the parabolic Grushin operator with singular potential -- 7 Y. Chitour, M. Godoy Molina, P. Kokkonen - The rolling problem: overview and challenges -- 8 A. A. Davydov, A. S. Platov - Optimal stationary exploitation of size-structured population with intra-specific competition -- 9 B. Doubrov, I. Zelenko - On geometry of affine control systems with one input -- 10 B. Franchi, V. Penso, R. Serapioni - Remarks on Lipschitz domains in Carnot groups -- 11 R. V. Gamkrelidze - Differential-geometric and invariance properties of the equations of Maximum Principle (MP) -- 12 N. Garofalo - Curvature-dimension inequalities and Li-Yau inequalities in sub-Riemannian spaces -- 13 R. Ghezzi, F. Jean - Hausdorff measures and dimensions in non equiregular sub-Riemannian manifolds -- 14 V. Jurdjevic - The Delauney-Dubins Problem -- 15 M. Karmanova, S. Vodopyanov - On Local Approximation Theorem on Equiregular Carnot?Carathéodory spaces -- 16 C. Li - On curvature-type invariants for natural mechanical systems on sub-Riemannian structures associated with a principle G-bundle -- 17 I. Markina, S. Wojtowytsch - On the Alexandrov Topology of sub-Lorentzian Manifolds -- 18 R. Monti - The regularity problem for sub-Riemannian geodesics -- 19 L. Poggiolini, G. Stefani - A case study in strong optimality and structural stability of bang?singular extremals -- 20 A. Shirikyan - Approximate controllability of the viscous Burgers equation on the real line -- 21 M. Zhitomirskii - Homogeneous affine line fields and affine line fields in Lie algebras. 330 $aThis volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry. On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language for studying controllability, motion planning, stabilizability and optimality for control systems. The geometric approach turned out to be fruitful in applications to robotics, vision modeling, mathematical physics etc. On the other hand, Riemannian geometry and its generalizations, such as  sub-Riemannian, Finslerian  geometry etc., have been actively adopting methods developed in the scope of geometric control. Application of these methods  has led to important results regarding geometry of sub-Riemannian spaces, regularity of sub-Riemannian distances, properties of the group  of diffeomorphisms of sub-Riemannian manifolds, local geometry and equivalence of distributions and sub-Riemannian structures, regularity of the Hausdorff volume. 410 0$aSpringer INdAM Series,$x2281-518X ;$v5 606 $aCalculus of variations 606 $aGlobal analysis (Mathematics) 606 $aManifolds (Mathematics) 606 $aDifferential geometry 606 $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016 606 $aGlobal Analysis and Analysis on Manifolds$3https://scigraph.springernature.com/ontologies/product-market-codes/M12082 606 $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022 615 0$aCalculus of variations. 615 0$aGlobal analysis (Mathematics). 615 0$aManifolds (Mathematics). 615 0$aDifferential geometry. 615 14$aCalculus of Variations and Optimal Control; Optimization. 615 24$aGlobal Analysis and Analysis on Manifolds. 615 24$aDifferential Geometry. 676 $a516.373 702 $aStefani$b Gianna$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aBoscain$b Ugo$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aGauthier$b Jean-Paul$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSarychev$b Andrey$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSigalotti$b Mario$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299988103321 996 $aGeometric control theory and sub-Riemannian geometry$91410204 997 $aUNINA