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Remarks on input-to-state stability of collocated systems with saturated feedback

Birgit Jacob, Felix L. Schwenninger, Lukas A. Vorberg

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Source: Crossref

Published: Sep 1, 2020

DOI: 10.1007/s00498-020-00264-w

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Abstract We investigate input-to-state stability (ISS) of infinite-dimensional collocated control systems subject to saturated feedback. Here, the unsaturated closed loop is dissipative and uniformly globally asymptotically stable. Under an additional assumption on the linear system, we show ISS for the saturated one. We discuss the sharpness of the conditions in light of existing results in the literature.

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Remarks on input-to-state stability of collocated systems with saturated feedback — Mathematical Frontier Network