Singular extremals inL1-optimal control problems: sufficient optimality conditions
DOI10.1051/cocv/2020023zbMath1471.49004arXiv2101.11281OpenAlexW2973052964MaRDI QIDQ5854392
Francesca C. Chittaro, Laura Poggiolini
Publication date: 17 March 2021
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.11281
sufficient optimality conditionssingular controlcontrol-affine systemsminimum fuel problem\(L^1\) minimisation
Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bang-singular-bang extremals: sufficient optimality conditions
- On the inverse function theorem
- Strong local optimality for generalized L1 optimal control problems
- Control theory from the geometric viewpoint.
- \(\mathrm{L}^1\)-optimality conditions for the circular restricted three-body problem
- State-local optimality of a bang--bang trajectory: a Hamiltonian approach
- $\mathrm{L^1}$-Minimization for Mechanical Systems
- On the Minimum Time Problem for Dodgem Car–Like Bang–Singular Extremals
- Maximum Hands-Off Control: A Paradigm of Control Effort Minimization
- Bang-bang trajectories with a double switching time in the minimum time problem
- Minimum-time strong optimality of a singular arc: The multi-input non involutive case
- Strong Local Optimality for a Bang-Bang Trajectory in a Mayer Problem
- Sufficient Optimality Conditions for a Bang-bang Trajectory in a Bolza Problem
- Constrained Regular LQ-Control Problems
- Strong Optimality for a Bang-Bang Trajectory
- An invariant second variation in optimal control
This page was built for publication: Singular extremals inL1-optimal control problems: sufficient optimality conditions