Stability analysis of discrete-time systems with arbitrary delay kernels based on kernel-related summation inequality and model transformation

In the existing papers considering the stability analysis of discrete-time systems with distributed delays via the Lyapunov-Krasovskii functional (LKF) method, the delay kernels are normally restricted to be non-negative. In this paper, we aim to remove such a restriction and deal with the stability...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 476; p. 128740
Main Authors Huang, Yi-Bo, Song, Zhihuan, Yu, Wei
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.09.2024
Subjects
Distributed delays
Lyapunov-Krasovskii functional method
Model transformation
Stability criteria
Summation inequalities
Summation inequalities
Lyapunov-Krasovskii functional method
Model transformation
Distributed delays
Stability criteria
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Summary:In the existing papers considering the stability analysis of discrete-time systems with distributed delays via the Lyapunov-Krasovskii functional (LKF) method, the delay kernels are normally restricted to be non-negative. In this paper, we aim to remove such a restriction and deal with the stability analysis of systems with arbitrary delay kernels. For this purpose, a kernel-related summation inequality is first constructed. Then, a stability condition is derived based on the proposed inequality and a model transformation. Finally, two numerical examples are presented to show that the proposed stability condition not only has a wider scope of application and is less conservative than the existing ones.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2024.128740