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August 18, 2025Communications on Applied Mathematics and ComputationOpen Access

Physics-Informed Neural Networks for PDE-Constrained Optimization and Control

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Authors

JBJostein Barry-StraumeASArash SarsharAPAndrey A. Popov

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Overview

This method integrates optimal control within physics-informed neural networks, indicating enhanced efficiency and adaptability in systems governed by PDEs.

Key Points

  • The proposed framework improves results in optimal control problems governed by partial differential equations, achieving faster computation.
  • Control physics-informed neural networks learn system states and optimal control signals simultaneously, streamlining the process.
  • This method embeds optimality conditions into the network architecture, enhancing both learning and performance metrics.
  • The effectiveness of this approach is demonstrated across various open-loop optimal control problems involving one- and two-dimensional PDEs.

Cite This Study

Barry-Straume et al. (2025) studied this question.

synapsesocial.com/papers/68af453aad7bf08b1ead297dhttps://doi.org/10.1007/s42967-025-00499-x
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