Lyapunov functions for input-to-state stability of infinite-dimensional systems with integrable inputs

Andrii Mironchenko

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Lyapunov functions for input-to-state stability of infinite-dimensional systems with integrable inputs

机译：Lyapunov采用可集成输入的无限维系统的输入到状态稳定性

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In this paper, we extend the ISS Lyapunov methodology to make it suitable for the analysis of ISS w.r.t. inputs fromLp-spaces. We show that the existence of a so-calledLp-ISS Lyapunov function impliesLp-ISS of a system. Also, we show that existence of a noncoerciveLp-ISS Lyapunov function impliesLp-ISS of a control system provided the flow map is continuous w.r.t. states and inputs and provided the finite-time reachability sets, corresponding to the input spaceLpare bounded.

机译：在本文中，我们扩展了ISS Lyapunov方法，使其适用于ISS W.R.T的分析。输入FROM-SPACES。我们表明存在所谓的LP-ISS Lyapunov函数的函数意味着一个系统。此外，我们表明，如果流程图是连续的w.r.t，则不可终止的非加强电池is Lyapunov函数的存在ImpliSLP-ISS。状态和输入并提供有限时间可达性集，对应于输入SpacelPare界限。

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《IFAC PapersOnLine》 |2020年第2期|共6页
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Andrii Mironchenko;
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Nonlinear systemsinfinite-dimensional systemsinput-to-state stabilityLyapunov methods;

机译：非线性SystemsInfinite-尺寸系统算 - 状态稳定性;

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Lyapunov functions for input-to-state stability of infinite-dimensional systems with integrable inputs

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