A new method to obtain ultimate bounds and convergence rates for perturbed time-delay systems

Quan Quan; Kai Yuan Cai

doi:10.1002/rnc.1793

A new method to obtain ultimate bounds and convergence rates for perturbed time-delay systems

Quan Quan^*
, Kai Yuan Cai

^*此作品的通讯作者

自动化科学与电气工程学院

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

摘要

A new method is proposed to determine the ultimate bounds and the convergence rates for perturbed time-delay systems when the Lyapunov-Krasovskii functionals and their derivatives are available. Compared with existing methods, the proposed method is more concise, more widely applicable, and the obtained results are less conservative. To show the three features, the proposed method is applied to improve three existing results, respectively.

源语言	英语
页（从-至）	1873-1880
页数	8
期刊	International Journal of Robust and Nonlinear Control
卷	22
期	16
DOI	https://doi.org/10.1002/rnc.1793
出版状态	已出版 - 10 11月 2012

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10.1002/rnc.1793

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abstract = "A new method is proposed to determine the ultimate bounds and the convergence rates for perturbed time-delay systems when the Lyapunov-Krasovskii functionals and their derivatives are available. Compared with existing methods, the proposed method is more concise, more widely applicable, and the obtained results are less conservative. To show the three features, the proposed method is applied to improve three existing results, respectively.",

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AU - Cai, Kai Yuan

PY - 2012/11/10

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N2 - A new method is proposed to determine the ultimate bounds and the convergence rates for perturbed time-delay systems when the Lyapunov-Krasovskii functionals and their derivatives are available. Compared with existing methods, the proposed method is more concise, more widely applicable, and the obtained results are less conservative. To show the three features, the proposed method is applied to improve three existing results, respectively.

AB - A new method is proposed to determine the ultimate bounds and the convergence rates for perturbed time-delay systems when the Lyapunov-Krasovskii functionals and their derivatives are available. Compared with existing methods, the proposed method is more concise, more widely applicable, and the obtained results are less conservative. To show the three features, the proposed method is applied to improve three existing results, respectively.

KW - boundedness

KW - Lyapunov-Krasovskii functionals

KW - time-delay systems

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M3 - 文章

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JO - International Journal of Robust and Nonlinear Control

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A new method to obtain ultimate bounds and convergence rates for perturbed time-delay systems

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