基于准时间依赖性最大可分李亚普诺夫函数法的正向开关均质系统稳定性

IF 2.4 3区数学 Q1 MATHEMATICS

Journal of Applied Mathematics and Computing Pub Date : 2024-07-26 DOI:10.1007/s12190-024-02193-2

Mengqian Liang, Yazhou Tian

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引用次数: 0

摘要

本文分析了包括部分不稳定子系统在内的正向开关均质系统（PSHS）的稳定性问题。首先构建了准时间相关的最大可分割 Lyapunov 函数，以研究模式相关平均驻留时间切换规则下具有不稳定子系统的 PSHS 的指数稳定性问题，这不仅涵盖了之前的结论，而且与时间相关的结果相比减少了保守性。此外，通过处理非线性编程，可以方便地获取稳定性条件。最后，本文提出了一个数值示例来说明结论的可信度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Stability of positive switched homogeneous systems based on quasi-time-dependent max-separable Lyapunov function method

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Stability of positive switched homogeneous systems based on quasi-time-dependent max-separable Lyapunov function method

This article analyzes stability issues of positive switched homogeneous systems (PSHSs) including partial unstable subsystems. The quasi-time-dependent max-separable Lyapunov function is firstly constructed to investigate exponential stability problems for PSHSs with unstable subsystems under mode dependent average dwell time switching rule, which not only covers the previous conclusions but also reduces conservatism in comparison to time-independent results. Besides, stability conditions are accessed conveniently by handling a nonlinear programming. Finally, this paper puts forward a numerical example to illustrate the credibility of findings.

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来源期刊

Journal of Applied Mathematics and Computing Mathematics-Computational Mathematics

CiteScore

4.20

自引率

4.50%

发文量

131

期刊介绍： JAMC is a broad based journal covering all branches of computational or applied mathematics with special encouragement to researchers in theoretical computer science and mathematical computing. Major areas, such as numerical analysis, discrete optimization, linear and nonlinear programming, theory of computation, control theory, theory of algorithms, computational logic, applied combinatorics, coding theory, cryptograhics, fuzzy theory with applications, differential equations with applications are all included. A large variety of scientific problems also necessarily involve Algebra, Analysis, Geometry, Probability and Statistics and so on. The journal welcomes research papers in all branches of mathematics which have some bearing on the application to scientific problems, including papers in the areas of Actuarial Science, Mathematical Biology, Mathematical Economics and Finance.