Delay-dependent criteria for absolute stability of uncertain time-delayed Lur'e dynamical systems

S. M. Lee; Ju H. Park

doi:10.1016/j.jfranklin.2009.08.002

Delay-dependent criteria for absolute stability of uncertain time-delayed Lur'e dynamical systems

S. M. Lee, Ju H. Park

School of Electronics Engineering

Yeungnam University

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

46 Scopus citations

Abstract

This paper deals with the absolute stability analysis for uncertain time-delayed Lur systems with 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 convex optimization techniques. Sector bounds and slope bounds are employed to a Lyapunov-Krasovskii functional through convex representation of the nonlinearities so that less conservative stability conditions are obtained. A numerical example shows effectiveness of the proposed stability condition over some existing ones.

Original language	English
Pages (from-to)	146-153
Number of pages	8
Journal	Journal of the Franklin Institute
Volume	347
Issue number	1
DOIs	https://doi.org/10.1016/j.jfranklin.2009.08.002
State	Published - Feb 2010

Keywords

Delay-dependent criteria
LMI
Sector and slope restrictions
Time-delayed Lur'e systems

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10.1016/j.jfranklin.2009.08.002

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abstract = "This paper deals with the absolute stability analysis for uncertain time-delayed Lur systems with 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 convex optimization techniques. Sector bounds and slope bounds are employed to a Lyapunov-Krasovskii functional through convex representation of the nonlinearities so that less conservative stability conditions are obtained. A numerical example shows effectiveness of the proposed stability condition over some existing ones.",

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AB - This paper deals with the absolute stability analysis for uncertain time-delayed Lur systems with 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 convex optimization techniques. Sector bounds and slope bounds are employed to a Lyapunov-Krasovskii functional through convex representation of the nonlinearities so that less conservative stability conditions are obtained. A numerical example shows effectiveness of the proposed stability condition over some existing ones.

KW - Delay-dependent criteria

KW - LMI

KW - Sector and slope restrictions

KW - Time-delayed Lur'e systems

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ER -

Delay-dependent criteria for absolute stability of uncertain time-delayed Lur'e dynamical systems

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Keywords

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