Error estimates for space-time discretization of parabolic time-optimal control problems with bang-bang controls
arXiv:1809.0488610 citations
AI Analysis
Provides theoretical error bounds for numerical solutions of time-optimal control problems, benefiting researchers in computational optimal control.
The paper derives a priori error estimates for full space-time discretization of parabolic time-optimal control problems, proving convergence results for optimal time and bang-bang controls with numerical validation.
In this paper a priori error estimates are derived for full discretization (in space and time) of time-optimal control problems. Various convergence results for the optimal time and the control variable are proved under different assumptions. Especially the case of bang-bang controls is investigated. Numerical examples are provided to illustrate the results.