On Singularities of Minimum Time Control-Affine Systems
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Publication:5073514
DOI10.1137/20M1366861zbMath1487.49021OpenAlexW3214468227MaRDI QIDQ5073514
Robert Roussarie, Jacques Féjoz, M. Orieux, Jean-Baptiste Caillau
Publication date: 3 May 2022
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/20m1366861
Control of mechanical systems (70Q05) Regularity of solutions in optimal control (49N60) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Optimality conditions for problems involving ordinary differential equations (49K15)
Cites Work
- The elementary theory of restricted analytic fields with exponentiation
- Singular trajectories and their role in control theory
- Singularities of vector fields
- Lectures on partial hyperbolicity and stable ergodicity
- Control theory from the geometric viewpoint.
- Switching in time-optimal problem: the 3D case with 2D control
- Optimality of broken extremals
- State-local optimality of a bang--bang trajectory: a Hamiltonian approach
- $\mathrm{L^1}$-Minimization for Mechanical Systems
- The Averaged Control System of Fast-Oscillating Control Systems
- Switching in Time-Optimal Problem with Control in a Ball
- Nilpotent and High-Order Approximations of Vector Field Systems
- Coplanar control of a satellite around the Earth
- Minimum Time Control of the Restricted Three-Body Problem
- Fuller Singularities for Generic Control-Affine Systems with an Even Number of Controls
- Invariant manifolds
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