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

^*Corresponding author for this work

School of Automation Science and Electrical Engineering

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English
Pages (from-to)	1873-1880
Number of pages	8
Journal	International Journal of Robust and Nonlinear Control
Volume	22
Issue number	16
DOIs	https://doi.org/10.1002/rnc.1793
State	Published - 10 Nov 2012

Keywords

boundedness
Lyapunov-Krasovskii functionals
time-delay systems

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10.1002/rnc.1793

Cite this

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

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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T1 - A new method to obtain ultimate bounds and convergence rates for perturbed time-delay systems

AU - Quan, Quan

AU - Cai, Kai Yuan

PY - 2012/11/10

Y1 - 2012/11/10

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

UR - https://www.scopus.com/pages/publications/84867395666

U2 - 10.1002/rnc.1793

DO - 10.1002/rnc.1793

M3 - 文章

AN - SCOPUS:84867395666

SN - 1049-8923

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EP - 1880

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

IS - 16

ER -

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

Abstract

Keywords

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