Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces
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Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces
Announce Type: replace-cross Abstract: We consider linear model reduction in both the control and state variables for unconstrained linear-quadratic optimal control problems subject to time-varying parabolic PDEs. The first-order optimality condition for a state-space reduced model naturally leads to a reduced structure of the optimal control. Thus, we consider a control- and state-reduced problem that admits the same minimizer as the solely state-reduced problem.