Singular arcs in optimal periodic controls for scalar dynamics and integral input constraint
DOI10.1007/s10957-022-02095-yzbMath1501.49005OpenAlexW4296178185MaRDI QIDQ2093281
Alain Rapaport, Thomas Guilmeau
Publication date: 7 November 2022
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-022-02095-y
Periodic solutions to ordinary differential equations (34C25) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Periodic optimal control problems (49N20) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Julia
- Optimal periodic control for scalar dynamics under integral constraint on the input
- Solution of a periodic optimal control problem by asymptotic series
- Improvement of performances of the chemostat used for continuous biological water treatment with periodic controls
- Hamilton-Jacobi theory for periodic control problems
- Status of periodic optimization of dynamical systems
- Second-variation methods in periodic optimization
- Constant Versus Periodic Fishing: Age Structured Optimal Control Approach
- Julia: A Fresh Approach to Numerical Computing
- Necessary and Sufficient Conditions for Local Optimality of a Periodic Process
- A second variational theory for optimal periodic processes
- Periodic impulse-forcing of non-linear systems: a new method
- Optimal Periodic Control: A General Theory of Necessary Conditions
- The Chemostat
- Periodic control: A frequency domain approach
This page was built for publication: Singular arcs in optimal periodic controls for scalar dynamics and integral input constraint