درحال بارگذاري...
جستجو
| ایمیل دوست | |
| نام شما | |
| ایمیل شما | |
| کد مقابل را وارد نمایید | |
این صفحه برای دوست شما با موفقیت ارسال شد.
فهرست محتوای دیجیتالی
فهرست مطالب
فهرست نقدها
635 مرتبه مشاهده شده
Geometric Control Theory and Sub-Riemannian Geometry
- ISBN:9783319021324
- ISBN:9783319021317
- DOI:10.1007/978-3-319-02132-4 doi
- Call Number : QA 649 .G4686 2014
- Title:Geometric Control Theory and Sub-Riemannian Geometry [electronic resource] / edited by Gianna Stefani ... [et al.].
- Publisher:Cham : Springer International Publishing, 2014.
- Physical Description:XII, 384 p.: ill
- Series:Springer INdAM Series, 2281-518X; 5
- Notes:CD no.1224
- Subject:Geometry, Riemannian.
- Subject:Control theory.
- Subject:Mathematics.
- Added Entry:Stefani, Gianna.
- Source: Springer eBooks
- Additional formats:Printed edition 9783319021317
Geometric Control Theoryمحتواي کتاب
- Cover
- Title Page
- Copyright Page
- Preface
- Table of Contents
- Some open problems
- 1 Singularities of time-optimal trajectories
- 2 Cutting the corners in sub-Riemannian spaces
- 3 “Morse–Sard theorem” for the endpoint maps
- 4 Unfolding the sub-Riemannian distance
- 5 Symmetries of vector distributions
- 6 Closed curves with a nondegenerate Frenet frame
- 7 Controllability of the Navier–Stokes equations controlled by a localized degenerate forcing
- 8 Diffusion along the Reeb field
- References
- Geometry of Maslov cycles
- How to Run a Centipede: a Topological Perspective
- Geometric and numerical techniques to compute conjugate and cut loci on Riemannian surfaces
- On the injectivity and nonfocal domains of the ellipsoid of revolution
- Null controllability in large time for the parabolic Grushin operator with singular potential
- The rolling problem: overview and challenges
- Optimal stationary exploitation of size-structured population with intra-specific competition
- On geometry of affine control systems with one input
- 1 Introduction
- 2 Abnormal extremals of rank 2 distributions
- 3 Jacobi curves of abnormal extremals
- 4 Reduction to geometry of curves in projective spaces
- 5 Canonical projective structure on curves in projective spaces
- 6 Canonical frames for rank 2 distributions of maximal class
- 7 Canonical frames for rank 2 distributions of maximal class with distinguish parametrization on abnormal extremals
- 8 Symplectic curvatures for the structures under consideration
- 9 The maximally symmetric models
- References
- Remarks on Lipschitz domains in Carnot groups
- Differential-geometric and invariance properties of the equations of Maximum Principle (MP)
- Curvature-dimension inequalities and Li-Yau inequalities in sub-Riemannian spaces
- 1 Introduction
- 2 From Riemannian to sub-Riemannian geometry
- 3 The curvature-dimension inequality CD(ρ, n) and the Ricci tensor
- 4 Li-Yau type estimates
- 5 The parabolic Harnack inequality for Ricci ≥ 0
- 6 Off-diagonal Gaussian upper bounds for Ricci ≥ 0
- 7 A sub-Riemannian Bonnet-Myers theorem
- 8 Global volume doubling when Ricci ≥ 0
- 9 Sharp Gaussian bounds, Poincaré inequality and parabolic Harnack inequality
- 10 Negatively curved manifolds
- 11 Geometric examples
- References
- Hausdorff measures and dimensions in non equiregular sub-Riemannian manifolds
- The Delauney-Dubins Problem
- On Local Approximation Theorem on Equiregular Carnot–Carathéodory Spaces
- On curvature-type invariants for natural mechanical systems on sub-Riemannian structures associated with a principle G-bundle
- On the Alexandrov Topology of sub-Lorentzian Manifolds
- The regularity problem for sub-Riemannian geodesics
- A case study in strong optimality and structural stability of bang–singular extremals
- Approximate controllability of the viscous Burgers equation on the real line
- Homogeneous affine line fields and affine lines in Lie algebras
- 1 Introduction
- 1.1 Local homogeneous subsets of the tangent bundle
- 1.2 Symmetry algebra sym (∑)
- 1.3 Construction of a local homogeneous subset of T Rn from an endowed n-dimensional Lie algebra
- 1.4 A general question on local homogeneous subsets of T Rn
- 1.5 Local homogeneous affine line fields. Main theorems
- 1.6 Plan of the paper
- 2 Tools
- 3 Proof of Theorem 1
- 4 Complete classification of homogeneous affine line fields in T R3
- 5 Classification of homogeneous bracket generating affine line fields in T R4 and proof of Theorem 2
- References
- 1 Introduction