Under spectral assumptions, a Riccati feedback from a POD finite-dimensional approximation exponentially stabilizes the infinite-dimensional linear control system.
Tr´ elat,Stabilization of semilinear PDEs, and uniform decay under d iscretization, Evolution equations: long time behavior and control, 31–76, London Math
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Stabilization of infinite-dimensional linear control systems by POD reduced-order Riccati feedback
Under spectral assumptions, a Riccati feedback from a POD finite-dimensional approximation exponentially stabilizes the infinite-dimensional linear control system.