Novel Lyapunov–Krasovskii functions are introduced, and a new finite-time stability criterion is derived byemploying the average dwell time (ADT) approach and linear matrix inequality technique.An example is given to illustrate the effectiveness of the proposed method.
📌 3 Key Takeaways
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Objective & Hypothesis:This paper is concerned with the problem of finite-time stability (FTS) of a class ofswitched systems with delayed arguments and nonlinear perturbations which are relatednot only with the current state and the delayed state but also with timet.
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Key Findings & Data:This paper is concerned with the problem of finite-time stability (FTS) of a class ofswitched systems with delayed arguments and nonlinear perturbations which are relatednot only with the current state and the delayed state but also with timet.
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Conclusion & Impact:Novel Lyapunov–Krasovskii functions are introduced, and a new finite-time stability criterion is derived byemploying the average dwell time (ADT) approach and linear matrix inequality technique.An example is given to illustrate the effectiveness of the proposed method.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
This paper is concerned with the problem of finite-time stability (FTS) of a class ofswitched systems with delayed arguments and nonlinear perturbations which are relatednot only with the current state and the delayed state but also with timet. Novel Lyapunov–Krasovskii functions are introduced, and a new finite-time stability criterion is derived byemploying 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. (2022). Finite-time stability of switched systems withdelayed arguments and nonlinear perturbations. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 1, 162–169. https://ajindex.com/articles/529602
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