Delay-independent absolute stability for time-delay Lur'e systems with sector and slope restricted nonlinearities

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

doi:10.1016/j.physleta.2008.03.012

Delay-independent absolute stability for time-delay Lur'e systems with sector and slope restricted nonlinearities

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

School of Electronics Engineering

Chungbuk National University
Yeungnam University

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

22 Scopus citations

Abstract

This Letter presents an analysis method for a delay-independent absolute stability of time-delay Lur'e systems with sector and slope restrictions. The proposed method is based on the Lyapunov functions with quadratic form of states and nonlinear functions of the systems. Several criteria are derived in terms of linear matrix inequalities (LMIs). A numerical example is illustrated to show the effectiveness of the proposed method.

Original language	English
Pages (from-to)	4010-4015
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	372
Issue number	22
DOIs	https://doi.org/10.1016/j.physleta.2008.03.012
State	Published - 26 May 2008

Keywords

LMIs
Lur'e time-delay systems
Sector and slope restrictions

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10.1016/j.physleta.2008.03.012

Cite this

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abstract = "This Letter presents an analysis method for a delay-independent absolute stability of time-delay Lur'e systems with sector and slope restrictions. The proposed method is based on the Lyapunov functions with quadratic form of states and nonlinear functions of the systems. Several criteria are derived in terms of linear matrix inequalities (LMIs). A numerical example is illustrated to show the effectiveness of the proposed method.",

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Y1 - 2008/5/26

N2 - This Letter presents an analysis method for a delay-independent absolute stability of time-delay Lur'e systems with sector and slope restrictions. The proposed method is based on the Lyapunov functions with quadratic form of states and nonlinear functions of the systems. Several criteria are derived in terms of linear matrix inequalities (LMIs). A numerical example is illustrated to show the effectiveness of the proposed method.

AB - This Letter presents an analysis method for a delay-independent absolute stability of time-delay Lur'e systems with sector and slope restrictions. The proposed method is based on the Lyapunov functions with quadratic form of states and nonlinear functions of the systems. Several criteria are derived in terms of linear matrix inequalities (LMIs). A numerical example is illustrated to show the effectiveness of the proposed method.

KW - LMIs

KW - Lur'e time-delay systems

KW - Sector and slope restrictions

UR - https://www.scopus.com/pages/publications/43049151392

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DO - 10.1016/j.physleta.2008.03.012

M3 - Article

AN - SCOPUS:43049151392

SN - 0375-9601

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JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 22

ER -

Delay-independent absolute stability for time-delay Lur'e systems with sector and slope restricted nonlinearities

Abstract

Keywords

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