Indirect PINN methods for semilinear PDE optimal control preserve the state equation and optimality conditions more faithfully than direct PINNs while producing smoother controls due to implicit regularization.
Sympocnet: Solv- ing optimal control problems with applications to high-dimensional multiagent path planning problems,
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PINNs in PDE Constrained Optimal Control Problems: Direct vs Indirect Methods
Indirect PINN methods for semilinear PDE optimal control preserve the state equation and optimality conditions more faithfully than direct PINNs while producing smoother controls due to implicit regularization.