Robust stability analysis for Lur'e systems with interval time-varying delays via Wirtinger-based inequality

Myeongjin Park; Ohmin Kwon; Juhyun Park; Sangmoon Lee; Eunjong Cha

doi:10.1186/1687-1847-2014-143

Robust stability analysis for Lur'e systems with interval time-varying delays via Wirtinger-based inequality

Myeongjin Park
, Ohmin Kwon
, Juhyun Park
, Sangmoon Lee
, Eunjong Cha

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

14 Citations (Scopus)

Abstract

This paper considers the problem of robust stability for Lur'e systems with interval time-varying delays and parameter uncertainties. It is assumed that the parameter uncertainties are norm bounded. By constructing a newly augmented Lyapunov-Krasovskii functional, less conservative sufficient stability conditions of the concerned systems are introduced within the framework of linear matrix inequalities (LMIs). Three numerical examples are given to show the improvements over the existing ones and the effectiveness of the proposed methods.

Original language	English
Article number	143
Journal	Advances in Difference Equations
Volume	2014
Issue number	1
DOIs	https://doi.org/10.1186/1687-1847-2014-143
Publication status	Published - May 2014

Bibliographical note

Funding Information:
This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2008-0062611), and by a Grant of the Korea Healthcare Technology R&D Project, Ministry of Health and Welfare, Republic of Korea (A100054).

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abstract = "This paper considers the problem of robust stability for Lur'e systems with interval time-varying delays and parameter uncertainties. It is assumed that the parameter uncertainties are norm bounded. By constructing a newly augmented Lyapunov-Krasovskii functional, less conservative sufficient stability conditions of the concerned systems are introduced within the framework of linear matrix inequalities (LMIs). Three numerical examples are given to show the improvements over the existing ones and the effectiveness of the proposed methods.",

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AU - Lee, Sangmoon

AU - Cha, Eunjong

N1 - Funding Information: This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2008-0062611), and by a Grant of the Korea Healthcare Technology R&D Project, Ministry of Health and Welfare, Republic of Korea (A100054).

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N2 - This paper considers the problem of robust stability for Lur'e systems with interval time-varying delays and parameter uncertainties. It is assumed that the parameter uncertainties are norm bounded. By constructing a newly augmented Lyapunov-Krasovskii functional, less conservative sufficient stability conditions of the concerned systems are introduced within the framework of linear matrix inequalities (LMIs). Three numerical examples are given to show the improvements over the existing ones and the effectiveness of the proposed methods.

AB - This paper considers the problem of robust stability for Lur'e systems with interval time-varying delays and parameter uncertainties. It is assumed that the parameter uncertainties are norm bounded. By constructing a newly augmented Lyapunov-Krasovskii functional, less conservative sufficient stability conditions of the concerned systems are introduced within the framework of linear matrix inequalities (LMIs). Three numerical examples are given to show the improvements over the existing ones and the effectiveness of the proposed methods.

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Robust stability analysis for Lur'e systems with interval time-varying delays via Wirtinger-based inequality

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