Almost sure stabilization of hybrid systems by intermittent stochastic noise with jumps

IF 4.8 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Automatica Pub Date : 2025-05-16 DOI:10.1016/j.automatica.2025.112373

Wei Mao , Xuerong Mao , Fuke Wu

引用次数: 0

Abstract

This paper is concerned with the almost sure stabilization of hybrid systems by introducing intermittent stochastic noise with jumps. By means of the Lyapunov function method and the ergodic property of Markov chain, sufficient conditions are given for stability of hybrid stochastic systems with intermittent stochastic noise. With the aid of the comparison method and M-matrix theory, it is shown that hybrid systems can be stabilized by discrete-time intermittent stochastic feedback control provided the duration between two consecutive observations is sufficient small. Finally, two examples are presented to illustrate our results.

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带跳跃的间歇随机噪声混合系统的几乎肯定镇定

本文研究了引入带跳变的间歇随机噪声的混合系统的几乎确定镇定问题。利用李雅普诺夫函数方法和马尔可夫链的遍历性，给出了具有间歇随机噪声的混合随机系统稳定的充分条件。借助于比较方法和m矩阵理论，证明了在两个连续观测值之间的间隔足够小的情况下，离散时间间歇随机反馈控制可以稳定混合系统。最后，给出了两个例子来说明我们的结果。

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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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.