Hermite kernel surrogates for the value function of high-dimensional nonlinear optimal control problems

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 mesh-free data-based approximation method for the value function of optimal control problems, which partially mitigates...

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Vydáno v:	Advances in computational mathematics Ročník 50; číslo 3; s. 36
Hlavní autoři:	Ehring, Tobias, Haasdonk, Bernard
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York Springer US 01.06.2024 Springer Nature B.V
Témata:	Approximation Cholesky factorization Computational mathematics Computational Mathematics and Numerical Analysis Computational Science and Engineering Dynamical systems Energy consumption Feedback control Interpolation Mathematical and Computational Biology Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics MORe 2022 Neural networks Nonlinear control Numerical methods Optimal control Ordinary differential equations Partial differential equations Visualization Kernel methods 93C10 Hermite interpolation 93C15 Optimal feedback control 30C40 Surrogate modeling 49N35 93B52
ISSN:	1019-7168, 1572-9044
On-line přístup:	Získat plný text
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