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Strong stabilization of non-dissipative operators in Hilbert spaces with input saturation

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Abstract

This paper investigates the question of strong stabilizability of non-dissipative linear systems in Hilbert spaces with input saturation. It is proved under some verifiable conditions that the origin is asymptotically stable for the closed-loop semilinear systems. The contribution is then applied to the Schrödinger equation.

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Authors and Affiliations

  1. LIMA, Département de Mathématique, Faculté des Sciences UCD, El Jadida, Morocco

    M. Laabissi & A. M. Taboye

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  1. M. Laabissi
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  2. A. M. Taboye
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Correspondence to M. Laabissi.

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Laabissi, M., Taboye, A.M. Strong stabilization of non-dissipative operators in Hilbert spaces with input saturation. Math. Control Signals Syst. 33, 553–568 (2021). https://doi.org/10.1007/s00498-021-00291-1

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  • DOI: https://doi.org/10.1007/s00498-021-00291-1

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