参数相关李雅普诺夫函数反例的数值验证

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2024-12-16 DOI:10.1016/j.amc.2024.129246

Birgül Aksoy, Taner Büyükköroğlu, Vakif Dzhafarov

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引用次数: 0

摘要

研究一类鲁棒Hurwitz稳定矩阵段仿射参数相关二次Lyapunov函数的存在性问题。给出了已知Barmish猜想的已知反例的数值验证。构造了该反例的二阶参数相关二次Lyapunov函数。给出仿射参数相关Lyapunov函数存在的充分条件。

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On the numerical verification of a counterexample on parameter-dependent Lyapunov functions

We consider the existence problem of an affine parameter-dependent quadratic Lyapunov function for a robust Hurwitz stable matrix segment. Numerical verification of the known counterexample to the known Barmish's conjecture is provided. Second order parameter-dependent quadratic Lyapunov function for this counterexample is constructed. Sufficient conditions for the existence of an affine parameter-dependent Lyapunov function are given.

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.