Improved delay-dependent stability criteria for uncertain Lur'e systems with sector and slope restricted nonlinearities and time-varying delays

S. J. Choi; S. M. Lee; S. C. Won; Ju H. Park

doi:10.1016/j.amc.2008.12.026

Improved delay-dependent stability criteria for uncertain Lur'e systems with sector and slope restricted nonlinearities and time-varying delays

S. J. Choi, S. M. Lee, S. C. Won, Ju H. Park

School of Electronics Engineering

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

28 Scopus citations

Abstract

This paper deals with the absolute stability analysis for uncertain time delay Lur'e systems that have time-varying delays and sector and slope restricted nonlinearities. New delay-dependent stability criteria are derived via linear matrix inequality (LMI) formulation that can be easily solved by various optimization techniques. Sector bounds and slope bounds are employed to the Lyapunov-Krasovskii functional through convex representation of the nonlinearities so that less conservative stability conditions are obtained. Numerical examples show effectiveness of the proposed stability condition.

Original language	English
Pages (from-to)	520-530
Number of pages	11
Journal	Applied Mathematics and Computation
Volume	208
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2008.12.026
State	Published - 15 Feb 2009

Keywords

Delay-dependent stability criteria
LMIs
Lur'e systems
Time-varying delay

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10.1016/j.amc.2008.12.026

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title = "Improved delay-dependent stability criteria for uncertain Lur'e systems with sector and slope restricted nonlinearities and time-varying delays",

abstract = "This paper deals with the absolute stability analysis for uncertain time delay Lur'e systems that have time-varying delays and sector and slope restricted nonlinearities. New delay-dependent stability criteria are derived via linear matrix inequality (LMI) formulation that can be easily solved by various optimization techniques. Sector bounds and slope bounds are employed to the Lyapunov-Krasovskii functional through convex representation of the nonlinearities so that less conservative stability conditions are obtained. Numerical examples show effectiveness of the proposed stability condition.",

keywords = "Delay-dependent stability criteria, LMIs, Lur'e systems, Time-varying delay",

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T1 - Improved delay-dependent stability criteria for uncertain Lur'e systems with sector and slope restricted nonlinearities and time-varying delays

AU - Choi, S. J.

AU - Lee, S. M.

AU - Won, S. C.

AU - Park, Ju H.

PY - 2009/2/15

Y1 - 2009/2/15

N2 - This paper deals with the absolute stability analysis for uncertain time delay Lur'e systems that have time-varying delays and sector and slope restricted nonlinearities. New delay-dependent stability criteria are derived via linear matrix inequality (LMI) formulation that can be easily solved by various optimization techniques. Sector bounds and slope bounds are employed to the Lyapunov-Krasovskii functional through convex representation of the nonlinearities so that less conservative stability conditions are obtained. Numerical examples show effectiveness of the proposed stability condition.

AB - This paper deals with the absolute stability analysis for uncertain time delay Lur'e systems that have time-varying delays and sector and slope restricted nonlinearities. New delay-dependent stability criteria are derived via linear matrix inequality (LMI) formulation that can be easily solved by various optimization techniques. Sector bounds and slope bounds are employed to the Lyapunov-Krasovskii functional through convex representation of the nonlinearities so that less conservative stability conditions are obtained. Numerical examples show effectiveness of the proposed stability condition.

KW - Delay-dependent stability criteria

KW - LMIs

KW - Lur'e systems

KW - Time-varying delay

UR - https://www.scopus.com/pages/publications/58849165836

U2 - 10.1016/j.amc.2008.12.026

DO - 10.1016/j.amc.2008.12.026

M3 - Article

AN - SCOPUS:58849165836

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VL - 208

SP - 520

EP - 530

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

Improved delay-dependent stability criteria for uncertain Lur'e systems with sector and slope restricted nonlinearities and time-varying delays

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Keywords

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