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- W2955269647 abstract "There exist many ways to stabilize an infinite-dimensional linear autonomous control systems when it is possible. Anyway, finding an exponentially stabilizing feedback control that is as simple as possible may be a challenge. The Riccati theory provides a nice feedback control but may be computationally demanding when considering a discretization scheme. Proper Orthogonal Decomposition (POD) offers a popular way to reduce large-dimensional systems. In the present paper, we establish that, under appropriate spectral assumptions, an exponentially stabilizing feedback Riccati control designed from a POD finite-dimensional approximation of the system stabilizes as well the infinite-dimensional control system." @default.
- W2955269647 created "2019-07-12" @default.
- W2955269647 creator A5055268165 @default.
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- W2955269647 date "2019-06-25" @default.
- W2955269647 modified "2023-09-24" @default.
- W2955269647 title "Stabilization of infinite-dimensional linear control systems by POD reduced-order Riccati feedback" @default.
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- W2955269647 doi "https://doi.org/10.48550/arxiv.1906.10339" @default.
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