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20232026
most citedOn the Convergence of the Policy Iteration for Infinite-Horizon Nonlinear Optimal Control Problems

1 citations · 4 across the 7 of their papers we have counts for

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5 papers · 1 filter

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.NA2025★ 1 cited

Escaping the native space of Sobolev kernels by interpolation

Tobias Ehring, Max-Paul Vogel, Bernard Haasdonk

Classical convergence analysis for kernel interpolation typically assumes that the target function lies in the reproducing kernel Hilbert space …

math.NA2025

Solving Approximation Tasks with Greedy Deep Kernel Methods

Marian Klink, Tobias Ehring, Robin Herkert +3

Kernel methods are versatile tools for function approximation and surrogate modeling. In particular, greedy techniques offer computational efficiency and reliability through inhere…

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.NA2025★ 1 cited

A trust-region framework for optimization using Hermite kernel surrogate models

Sven Ullmann, Tobias Ehring, Robin Herkert +1

In this work, we present a trust-region optimization framework that employs Hermite kernel surrogate models. The method targets optimization problems with computationally demanding…