Control systems on the Engel group (Q2424955)

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Language	Label	Description	Also known as
English	Control systems on the Engel group	scientific article

Statements

scholarly article

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Control systems on the Engel group (English)

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Dennis I. Barrett

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Claudiu C. Remsing

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Journal of Dynamical and Control Systems

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publication date

25 June 2019

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zbMATH Keywords

control system

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feedback equivalence

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Engel group

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s10883-018-9418-7

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On sub-Riemannian geodesics on the Engel groups: Hamilton's equations

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Sub-Riemannian structures on 3D Lie groups

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Control theory from the geometric viewpoint.

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Sub-Riemannian homogeneous spaces of Engel type

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Conjugate points in nilpotent sub-Riemannian problem on the Engel group

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Cut locus in the sub-Riemannian problem on Engel group

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Cut time in sub-riemannian problem on engel group

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Extremal paths in the nilpotent sub-Riemannian problem on the Engel group (subcritical case of pendulum oscillations)

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Extremal trajectories in a nilpotent sub-Riemannian problem on the Engel group

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Maxwell strata and cut locus in the sub-Riemannian problem on the Engel group

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Geometry, analysis and dynamics on sub-Riemannian manifolds. Volume I. Lecture notes from the IHP Trimester, Institut Henri Poincaré, Paris, France and from the CIRM summer school ``Sub-Riemannian manifolds: from geodesics to hypoelliptic diffusion'', Luminy, France, Fall 2014

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A ne distributions on a four-dimensional extension of the semi-Euclidean group

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Control systems on nilpotent Lie groups of dimension \(\leq 4\): equivalence and classification

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Control systems on the Heisenberg group: equivalence and classification

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Left-Invariant Sub-Riemannian Engel Structures: Abnormal Geodesics and Integrability

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Control Affine Systems on Semisimple Three-Dimensional Lie Groups

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Control affine systems on solvable three-dimensional Lie groups, I

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Control systems on three-dimensional Lie groups: equivalence and controllability

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Cost-extended control systems on Lie groups

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Equivalence of Control Systems on the Pseudo-Orthogonal Group SO (2, 1)<sub>0</sub>

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Some remarks on the oscillator group

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Geodesics in the Engel group with a sub-Lorentzian metric

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Lie groups beyond an introduction

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Poisson Structures

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Maxwell strata in sub-Riemannian problem on the group of motions of a plane

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Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane

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Control theory on Lie groups

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Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane

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Symmetries of flat rank two distributions and sub-Riemannian structures

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Geometric control theory and sub-Riemannian geometry. Proceedings of the meeting on geometric control theory and sub-Riemannian geometry, dedicated to Andrei A. Agrachev on the occasion of his 60th birthday, Cortona, Italy, May 21--25, 2012

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S10883-018-9418-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:2424955

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