Physics-Informed Neural Optimality
Oct 27, 2023
In continuous environments, optimality-related quantities for finite-dimensional dynamical systems usually exist in the lifted function/functional spaces, which are solutions to optimality-induced partial differential equations (PDEs). We develop analysis and computation tools in this regard.
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Publications
Y. Meng,
R. Zhou,
A. Mukherjee,
M. Fitzsimmons,
C. Song,
J. Liu
J. Liu,
Y. Meng,
M. Fitzsimmons,
R. Zhou
J. Liu,
Y. Meng,
R. Zhou
J. Liu,
Y. Meng,
M. Fitzsimmons,
R. Zhou
R. Zhou,
M. Fitzsimmons,
Y. Meng,
J. Liu
Physics-Informed Neural Network Lyapunov Functions: PDE Characterization, Learning, and Verification
J. Liu,
Y. Meng,
M. Fitzsimmons,
R. Zhou
J. Liu,
Y. Meng,
M. Fitzsimmons,
R. Zhou