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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 1

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

Youliang FU
Naxin CUİ
Chenghui ZHANG
Tongxing Lİ
Pages
162–169
Publication Date
2020-02-06
DOI
—
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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., CUİ, N., ZHANG, C., Lİ, T. (2020). Finite-time stability of switched systems with delayed arguments and nonlinear perturbations. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 1, 162–169. https://ajindex.com/articles/669303

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