随机系统定时输入-状态稳定性的统一框架

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

Automatica Pub Date : 2025-04-10 DOI:10.1016/j.automatica.2025.112282

Rong-Heng Cui , Xue-Jun Xie

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引用次数: 0

摘要

本文建立了一个统一、全面的随机固定时间输入到状态稳定性（SFT-ISS）框架，其贡献具有以下新特征：(1)引入了随机固定时间输入到状态稳定性的原始定义，并获得了三个重要性质。（ii）建立了两个SFT-ISS小增益条件和随机互联系统的随机定时稳定性定理等强有力的数学工具。（iii）作为这些理论结果的应用，彻底解决了具有SFT-ISS逆动力学的严格反馈随机非线性系统的定时镇定问题。

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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A unifying framework for fixed-time input-to-state stability in stochastic systems

In this paper, we develop a unifying and comprehensive framework for stochastic fixed-time input-to-state stability (SFT-ISS), whose contributions are characterized by the following novel features: (i) We introduce the original definition of stochastic fixed-time input-to-state stability and obtain three important properties. (ii) Some powerful mathematical tools including two SFT-ISS small-gain conditions and the stochastic fixed-time stability theorem for stochastic interconnected systems are established. (iii) As the application of these theoretical results, the problem of fixed-time stabilization for strict-feedback stochastic nonlinear systems with SFT-ISS inverse dynamics is thoroughly solved.

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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.