Geometric Control Theory and Sub-Riemannian Geometry

This 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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Stefani, Gianna (Editor ), Boscain, Ugo (Editor ), Gauthier, Jean-Paul (Editor ), Sarychev, Andrey (Editor ), Sigalotti, Mario (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Springer INdAM Series, 5
Temas:
Mathematical optimization.
Calculus of variations.
Global analysis (Mathematics).
Manifolds (Mathematics).
Geometry, Differential.
Calculus of Variations and Optimization.
Global Analysis and Analysis on Manifolds.
Differential Geometry.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1 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.

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