Control systems on the Engel group
From MaRDI portal
Publication:2424955
DOI10.1007/s10883-018-9418-7zbMath1416.93050OpenAlexW2892107485MaRDI QIDQ2424955
C. E. McLean, Dennis I. Barrett, Claudiu C. Remsing
Publication date: 25 June 2019
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10883-018-9418-7
Feedback control (93B52) Applications of optimal control and differential games (49N90) Geometric methods (93B27) Lie algebras of Lie groups (22E60) Engel conditions (20F45)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Geodesics in the Engel group with a sub-Lorentzian metric
- 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
- Sub-Riemannian structures on 3D Lie groups
- Sub-Riemannian homogeneous spaces of Engel type
- Control systems on three-dimensional Lie groups: equivalence and controllability
- 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
- Control theory on Lie groups
- Cut locus in the sub-Riemannian problem on Engel group
- Maxwell strata and cut locus in the sub-Riemannian problem on the Engel group
- Control theory from the geometric viewpoint.
- Cost-extended control systems on Lie groups
- Extremal paths in the nilpotent sub-Riemannian problem on the Engel group (subcritical case of pendulum oscillations)
- Some remarks on the oscillator group
- Control systems on nilpotent Lie groups of dimension \(\leq 4\): equivalence and classification
- Conjugate points in nilpotent sub-Riemannian problem on the Engel group
- A ne distributions on a four-dimensional extension of the semi-Euclidean group
- On sub-Riemannian geodesics on the Engel groups: Hamilton's equations
- Extremal trajectories in a nilpotent sub-Riemannian problem on the Engel group
- Poisson Structures
- Cut time in sub-riemannian problem on engel group
- Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane
- Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane
- Maxwell strata in sub-Riemannian problem on the group of motions of a plane
- Symmetries of flat rank two distributions and sub-Riemannian structures
- Equivalence of Control Systems on the Pseudo-Orthogonal Group SO (2, 1)0
- Control systems on the Heisenberg group: equivalence and classification
- Left-Invariant Sub-Riemannian Engel Structures: Abnormal Geodesics and Integrability
- Control affine systems on solvable three-dimensional Lie groups, I
- Control Affine Systems on Semisimple Three-Dimensional Lie Groups
- Lie groups beyond an introduction