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math.OC2025
Recovery of the optimal control value function in reproducing kernel Hilbert spaces from verification conditions
Tobias Ehring, Behzad Azmi, Bernard Haasdonk
Approximating the optimal value function for infinite-horizon, nonlinear, autonomous optimal control problems is both challenging and essential for synthesizing real-time opt…
math.OC2025★ 1 cited
On the Convergence of the Policy Iteration for Infinite-Horizon Nonlinear Optimal Control Problems
Tobias Ehring, Behzad Azmi, Bernard Haasdonk
Policy iteration (PI) is a widely used algorithm for synthesizing optimal feedback control policies across many engineering and scientific applications. When PI is deployed on infi…
math.OC2023
Hermite kernel surrogates for the value function of high-dimensional nonlinear optimal control problems
Tobias Ehring, Bernard Haasdonk
Numerical methods for the optimal feedback control of high-dimensional dynamical systems typically suffer from the curse of dimensionality. In the current presentation, we devise a…