Robust Delay-Dependent Stability Criteria for Time-Varying Delayed Lur’e Systems of Neutral Type

Yajuan Liu; S. M. Lee; O. M. Kwon; Ju H. Park

doi:10.1007/s00034-014-9909-z

Robust Delay-Dependent Stability Criteria for Time-Varying Delayed Lur’e Systems of Neutral Type

Yajuan Liu, S. M. Lee, O. M. Kwon, Ju H. Park

School of Electronics Engineering

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

27 Scopus citations

Abstract

This paper deals with the problem of the robust delay-dependent stability of uncertain Lur’e systems with neutral-type time-varying delays. By constructing a set of Lyapunov–Krasovskii functional, less conservative robust stability criteria are derived in terms of linear matrix inequalities. The contribution in reduced conservation of the proposed stability criteria relies on the reciprocally convex method and Wirtinger inequality, which provides tighter upper bound than Jensen inequality. Three numerical examples are provided to show the effectiveness of the proposed method.

Original language	English
Pages (from-to)	1481-1497
Number of pages	17
Journal	Circuits, Systems, and Signal Processing
Volume	34
Issue number	5
DOIs	https://doi.org/10.1007/s00034-014-9909-z
State	Published - 1 May 2015

Keywords

Neutral delay
Interval time-varying delay
Lur’e systems
Robust stability

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title = "Robust Delay-Dependent Stability Criteria for Time-Varying Delayed Lur{\textquoteright}e Systems of Neutral Type",

abstract = "This paper deals with the problem of the robust delay-dependent stability of uncertain Lur{\textquoteright}e systems with neutral-type time-varying delays. By constructing a set of Lyapunov–Krasovskii functional, less conservative robust stability criteria are derived in terms of linear matrix inequalities. The contribution in reduced conservation of the proposed stability criteria relies on the reciprocally convex method and Wirtinger inequality, which provides tighter upper bound than Jensen inequality. Three numerical examples are provided to show the effectiveness of the proposed method.",

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AU - Liu, Yajuan

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AU - Kwon, O. M.

AU - Park, Ju H.

PY - 2015/5/1

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AB - This paper deals with the problem of the robust delay-dependent stability of uncertain Lur’e systems with neutral-type time-varying delays. By constructing a set of Lyapunov–Krasovskii functional, less conservative robust stability criteria are derived in terms of linear matrix inequalities. The contribution in reduced conservation of the proposed stability criteria relies on the reciprocally convex method and Wirtinger inequality, which provides tighter upper bound than Jensen inequality. Three numerical examples are provided to show the effectiveness of the proposed method.

KW - Neutral delay

KW - Interval time-varying delay

KW - Lur’e systems

KW - Robust stability

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JO - Circuits, Systems, and Signal Processing

JF - Circuits, Systems, and Signal Processing

IS - 5

ER -

Robust Delay-Dependent Stability Criteria for Time-Varying Delayed Lur’e Systems of Neutral Type

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