Low-regret control for a hyperbolic pointwise problem with missing initial data
Abstract
The aim of this paper is to estimate an unknown initial condition in a hyperbolic problem with a pointwise source. To achieve this goal, we employ the low-regret optimal control method, assuming that control is exerted only at specific points in the source through a time-dependent control function. Before applying this strategy, we establish the existence and uniqueness of a solution in L2 using the transposition method of J. L. Lions.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Differential Equations and Boundary Problems
Numerical methods in inverse problems
Publication details
- Journal / source
- International Journal of Control
- Volume
- 99
- Issue
- 6
- Pages
- 1972–1979
- Publication date
- 15 February 2026
- Language
- EN