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...
| Other Authors: | , , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2014, 2014
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| Edition: | 1st ed. 2014 |
| Series: | Springer INdAM Series
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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
- 20 A. Shirikyan - Approximate controllability of the viscous Burgers equation on the real line
- 21 M. Zhitomirskii - Homogeneous affine line fields and affine linefields in Lie algebras
- 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