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Updated: Jul 16, 2025

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神经网络对随机反应-扩散方程的最佳控制的近似计算

W Stannat1, A Vogler1, L Wessels2

  • 1Institute of Mathematics, Technische Universität Berlin, Straße des 17. Juni 136, 10623 Berlin, Germany.

Chaos (Woodbury, N.Y.)
|September 13, 2023
PubMed
概括

本研究介绍了一种数值算法,用于在随机反应-扩散方程中近似最佳控制. 该方法减少了计算复杂性,通过使用人工神经网络和辐射基函数提供了非对称的最佳成本近似.

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Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
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