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Remarks on input-to-state stability of collocated systems with saturated feedback
Mathematics of Control, Signals, and Systems ( IF 1.2 ) Pub Date : 2020-09-07 , DOI: 10.1007/s00498-020-00264-w
Birgit Jacob , Felix L. Schwenninger , Lukas A. Vorberg

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.



中文翻译:

关于饱和反馈的并置系统的输入到状态稳定性的评论

我们研究了饱和反馈作用下的无限维并置控制系统的输入状态稳定性(ISS)。在此,不饱和闭环是耗散的,并且整体上全局渐近稳定。在线性系统的另一假设下,我们显示了饱和系统的ISS。我们根据文献中已有的结果讨论条件的敏锐度。

更新日期:2020-09-08
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