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LEADER: 04399cam a2200457Ii 4500
001 014008805-9
005 20140910154208.0
008 130905s2014 gw a b 000 0 eng d
020 $a9783319021317
020 $a3319021311
020 $z9783319021324 (eBook)
024 7 $a10.1007/978-3-3190-2132-4$2doi
035 0 $aocn857958427
040 $aBTCTA$beng$erda$cBTCTA$dYDXCP$dOCLCO$dHLS
050 4 $aQA649$b.G46 2014
082 04 $a516.373$223
245 00 $aGeometric control theory and sub-riemannian geometry /$cGianna Stefani [and four others] editors.
264 1 $aCham :$bSpringer Verlag,$c[2014]
300 $axii, 384 pages :$bcolor illustrations ;$c25 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aSpringer INdAM series ;$vv. 5
504 $aIncludes bibliographical references.
505 0 $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 --
505 0 $a11 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 --
505 0 $a20 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.
520 $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.
650 0 $aGeometry, Riemannian.
650 0 $aControl theory.
650 0 $aGeometry, Differential.
650 0 $aManifolds (Mathematics)
650 0 $aGlobal analysis.
650 0 $aGlobal differential geometry.
650 0 $aMathematical optimization.
650 0 $aMathematics.
700 1 $aStefani, Gianna,$eeditor.
830 0 $aSpringer INdAM series ;$vv. 5.
988 $a20140416
049 $aHLSS
906 $0OCLC