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.

中文翻译：

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具有输入饱和的希尔伯特空间中非耗散算子的强稳定性

本文研究了输入饱和的希尔伯特空间中非耗散线性系统的强稳定性问题。在一些可验证的条件下证明了闭环半线性系统的原点是渐近稳定的。然后将贡献应用于薛定谔方程。