时变系统的输入功率-状态稳定性

IF 5.9 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Automatica Pub Date : 2025-08-23 DOI:10.1016/j.automatica.2025.112552

Hernan Haimovich , Shenyu Liu , Antonio Russo , Jose L. Mancilla-Aguilar

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引用次数: 0

摘要

当一个系统的状态可以保持有界，即使输入振幅和能量都是无界的，那么由标准输入-状态稳定性（ISS）和积分-状态稳定性（iISS）属性给出的状态界可能没有提供有用的信息。本文考虑了一个适用于这种情况的iss相关概念：输入功率到状态稳定性（IPSS）。在非常温和的动力学假设下，给出了时变系统IPSS的充分必要条件。更准确地说，它表明(a)耗散形式的ISS- lyapunov函数的存在意味着IPSS，但不一定是隐含形式的函数，(b)具有指数类kl函数的iISS意味着IPSS， (c) ISS和更强的动力学假设意味着耗散形式的ISS- lyapunov函数的存在，因此IPSS。后一个结果是基于时变系统的逆李雅普诺夫定理，其动力学（即状态导数）不一定是连续的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Input-power-to-state stability of time-varying systems

When the state of a system may remain bounded even if both the input amplitude and energy are unbounded, then the state bounds given by the standard input-to-state stability (ISS) and integral-ISS (iISS) properties may provide no useful information. This paper considers an ISS-related concept suitable in such a case: input-power-to-state stability (IPSS). Necessary and sufficient conditions for IPSS are developed for time-varying systems under very mild assumptions on the dynamics. More precisely, it is shown that (a) the existence of a dissipation-form ISS-Lyapunov function implies IPSS, but not necessarily that of an implication-form one, (b) iISS with exponential class-

KL

function implies IPSS, and (c) ISS and stronger assumptions on the dynamics imply the existence of a dissipation-form ISS-Lyapunov function and hence IPSS. The latter result is based on a converse Lyapunov theorem for time-varying systems whose dynamics (i.e. state derivative) is not necessarily continuous with respect to time.

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来源期刊

Automatica 工程技术-工程：电子与电气

CiteScore

10.70

自引率

7.80%

发文量

617

审稿时长

5 months

期刊介绍： Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field. After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience. Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.