On the Logarithmic Stability Estimates of Non-autonomous Systems: Applications to Control Systems

IF 1.9 3区数学 Q1 MATHEMATICS

Qualitative Theory of Dynamical Systems Pub Date : 2024-05-07 DOI:10.1007/s12346-024-01040-w

Chaker Jammazi, Ghada Bouamaied, Mohamed Boutayeb

引用次数: 0

Abstract

This paper concerns the polynomial-logarithmic stability and stabilization of time-varying control systems. We present sufficient Lyapunov-like conditions guaranteeing this polynomial-logarithmic stability with applications to several linear and nonlinear control systems.

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论非自治系统的对数稳定性估计：控制系统的应用

本文涉及时变控制系统的多项式对数稳定性和稳定性。我们提出了保证这种多项式对数稳定性的类似 Lyapunov 的充分条件，并将其应用于若干线性和非线性控制系统。

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

Qualitative Theory of Dynamical Systems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

14.30%

发文量

130

期刊介绍： Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.