Fuller Singularities for Generic Control-Affine Systems with an Even Number of Controls
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Publication:5111066
DOI10.1137/19M1285305zbMath1443.37066arXiv1909.01061OpenAlexW3020912839MaRDI QIDQ5111066
Francesco Boarotto, Mario Sigalotti, Yacine Chitour
Publication date: 26 May 2020
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.01061
Geometric methods (93B27) Existence theories for optimal control problems involving ordinary differential equations (49J15) Dynamical systems in control (37N35) Generic properties, structural stability of dynamical systems (37C20)
Related Items (2)
On Singularities of Minimum Time Control-Affine Systems ⋮ Optimal spiral-like solutions near a singular extremal in a two-input control problem
Cites Work
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- Geometry of neighborhoods of singular trajectories in problems with multidimensional control
- A weak regularity theorem for real analytic optimal control problems
- Theory of chattering control with applications to astronautics, robotics, economics, and engineering
- Optimal syntheses for control systems on 2-D manifolds
- Time-optimal trajectories of generic control-affine systems have at worst iterated Fuller singularities
- Local regularity of optimal trajectories for control problems with general boundary conditions
- Control theory from the geometric viewpoint.
- Genericity results for singular curves
- Plane Curves as Pfaffians
- Switching in Time-Optimal Problem with Control in a Ball
- Singular Trajectories of Control-Affine Systems
- On the Local Structure of Time-Optimal Bang-Bang Trajectories in $\mathbb{R}^3$
- A note on skew-symmetric determinants
- On the Local Structure of Optimal Trajectories in R3
- Minimum Time Control of the Restricted Three-Body Problem
- Generic properties of singular trajectories
- Generic properties of singular trajectories
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