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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 1

Finite-time stability of switched systems with delayed arguments and nonlinear perturbations

Youliang Fu(Shandong University)0000-0003-4571-6830
Naxin Cui(Shandong University)0000-0001-9118-2951
Chenghui Zhang(Shandong University)0000-0003-2317-5930
Tongxing Li(Linyi University)0000-0002-4039-9648
Pages
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Publication Date
2020-02-06
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

An example is given to illustrate the effectiveness of the proposed method.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper is concerned with the problem of finite-time stability (FTS) of a class of switched systems with delayed arguments and nonlinear perturbations which are related not only with the current state and the delayed state but also with time $t$.
📊
Key Findings & Data:Novel Lyapunov--Krasovskii functions are introduced, and a new finite-time stability criterion is derived by employing the average dwell time (ADT) approach and linear matrix inequality technique.
💡
Conclusion & Impact:An example is given to illustrate the effectiveness of the proposed method.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Finite-time stability · Lyapunov–Krasovskii function · nonlinear perturbation

Abstract

This paper is concerned with the problem of finite-time stability (FTS) of a class of switched systems with delayed arguments and nonlinear perturbations which are related not only with the current state and the delayed state but also with time $t$. Novel Lyapunov--Krasovskii functions are introduced, and a new finite-time stability criterion is derived by employing the average dwell time (ADT) approach and linear matrix inequality technique. An example is given to illustrate the effectiveness of the proposed method.

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Cite This Article

Fu, Y., Cui, N., Zhang, C., Li, T. (2020). Finite-time stability of switched systems with delayed arguments and nonlinear perturbations. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 1. https://doi.org/10.15672/HJMS.2019.669

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