分段仿射系统的有限时间有界性

IF 1.8 Q3 AUTOMATION & CONTROL SYSTEMS

IFAC Journal of Systems and Control Pub Date : 2025-03-24 DOI:10.1016/j.ifacsc.2025.100303

Sana BenKhaled , Cédric Delattre , Bessem Bhiri , Michel Zasadzinski , Kamel Abderrahim

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引用次数: 0

摘要

本文研究了一类重要的混合系统的有限时间有界性，即分段仿射系统。本文的主要结果是PWA系统有限时间有界性和有限时间镇定的充分条件。我们的方法使用类李雅普诺夫函数和s过程来获得用lmi表示的这些条件。数值算例说明了该方法的有效性。

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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Finite-time boundedness of piecewise affine systems

This paper deals with the finite-time boundedness of an important class of hybrid systems, namely piecewise affine (PWA) systems. The main results in this article are sufficient conditions for finite-time boundedness and finite-time stabilization of PWA systems. Our approach uses a Lyapunov-like function and the S-procedure to obtain these conditions which are formulated in terms of LMIs. A numerical example illustrates the effectiveness of the proposed approach.

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来源期刊

IFAC Journal of Systems and Control AUTOMATION & CONTROL SYSTEMS-

CiteScore

3.70

自引率

5.30%

发文量