Enhancement on stability criteria for linear systems with interval time-varying delays

Oh Min Kwon; Myeong Jin Park; Ju H. Park; Sang Moon Lee

doi:10.1007/s12555-015-2003-x

Enhancement on stability criteria for linear systems with interval time-varying delays

Oh Min Kwon, Myeong Jin Park, Ju H. Park, Sang Moon Lee

School of Electronics Engineering

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

22 Scopus citations

Abstract

In this paper, the problem of stability for linear systems with interval time-varying delays is investigated. By constructing a suitable augmented Lyapunov-Krasovskii functional and utilizing Wirtinger-based integral inequality, two sufficient conditions for guaranteeing the asymptotic stability of the concerned systems are derived within the framework of linear matrix inequalities (LMIs). The superiority and validity of the proposed criteria are verified by comparing maximum delay bounds under various conditions via two numerical examples.

Original language	English
Pages (from-to)	12-20
Number of pages	9
Journal	International Journal of Control, Automation and Systems
Volume	14
Issue number	1
DOIs	https://doi.org/10.1007/s12555-015-2003-x
State	Published - 1 Feb 2016

Keywords

Interval time-varying delay
linear systems
LMIs
Lyapunov method
stability

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10.1007/s12555-015-2003-x

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abstract = "In this paper, the problem of stability for linear systems with interval time-varying delays is investigated. By constructing a suitable augmented Lyapunov-Krasovskii functional and utilizing Wirtinger-based integral inequality, two sufficient conditions for guaranteeing the asymptotic stability of the concerned systems are derived within the framework of linear matrix inequalities (LMIs). The superiority and validity of the proposed criteria are verified by comparing maximum delay bounds under various conditions via two numerical examples.",

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author = "Kwon, {Oh Min} and Park, {Myeong Jin} and Park, {Ju H.} and Lee, {Sang Moon}",

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AU - Lee, Sang Moon

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N2 - In this paper, the problem of stability for linear systems with interval time-varying delays is investigated. By constructing a suitable augmented Lyapunov-Krasovskii functional and utilizing Wirtinger-based integral inequality, two sufficient conditions for guaranteeing the asymptotic stability of the concerned systems are derived within the framework of linear matrix inequalities (LMIs). The superiority and validity of the proposed criteria are verified by comparing maximum delay bounds under various conditions via two numerical examples.

AB - In this paper, the problem of stability for linear systems with interval time-varying delays is investigated. By constructing a suitable augmented Lyapunov-Krasovskii functional and utilizing Wirtinger-based integral inequality, two sufficient conditions for guaranteeing the asymptotic stability of the concerned systems are derived within the framework of linear matrix inequalities (LMIs). The superiority and validity of the proposed criteria are verified by comparing maximum delay bounds under various conditions via two numerical examples.

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KW - linear systems

KW - LMIs

KW - Lyapunov method

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Enhancement on stability criteria for linear systems with interval time-varying delays

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Keywords

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