Delay-dependent dissipativity of singular time-delay systems

Magdi S. Mahmoud

doi:10.1093/imamci/dnn012

Delay-dependent dissipativity of singular time-delay systems

Magdi S. Mahmoud^*

^*Corresponding author for this work

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

32 Scopus citations

Abstract

In this paper, new results are established for the delay-dependent problems of dissipative analysis and state-feedback synthesis of singular time-delay (STD) systems with polytopic uncertainties. The developed results for the nominal singular system encompass available results on H_∞ approach, passivity and positive realness for STD systems as special cases. All the sufficient stability conditions are cast as linear matrix inequality-based feasibility tests. Robust dissipativity results are also derived. Numerical examples are provided.

Original language	English
Pages (from-to)	45-58
Number of pages	14
Journal	IMA Journal of Mathematical Control and Information
Volume	26
Issue number	1
DOIs	https://doi.org/10.1093/imamci/dnn012
State	Published - 2009

Keywords

Dissipative control
Disspativity
LMI
Singular systems
State feedback
Time-delay systems

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization
Applied Mathematics

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10.1093/imamci/dnn012

Cite this

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title = "Delay-dependent dissipativity of singular time-delay systems",

abstract = "In this paper, new results are established for the delay-dependent problems of dissipative analysis and state-feedback synthesis of singular time-delay (STD) systems with polytopic uncertainties. The developed results for the nominal singular system encompass available results on H∞ approach, passivity and positive realness for STD systems as special cases. All the sufficient stability conditions are cast as linear matrix inequality-based feasibility tests. Robust dissipativity results are also derived. Numerical examples are provided.",

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AU - Mahmoud, Magdi S.

PY - 2009

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N2 - In this paper, new results are established for the delay-dependent problems of dissipative analysis and state-feedback synthesis of singular time-delay (STD) systems with polytopic uncertainties. The developed results for the nominal singular system encompass available results on H∞ approach, passivity and positive realness for STD systems as special cases. All the sufficient stability conditions are cast as linear matrix inequality-based feasibility tests. Robust dissipativity results are also derived. Numerical examples are provided.

AB - In this paper, new results are established for the delay-dependent problems of dissipative analysis and state-feedback synthesis of singular time-delay (STD) systems with polytopic uncertainties. The developed results for the nominal singular system encompass available results on H∞ approach, passivity and positive realness for STD systems as special cases. All the sufficient stability conditions are cast as linear matrix inequality-based feasibility tests. Robust dissipativity results are also derived. Numerical examples are provided.

KW - Dissipative control

KW - Disspativity

KW - LMI

KW - Singular systems

KW - State feedback

KW - Time-delay systems

UR - https://www.scopus.com/pages/publications/63249101165

U2 - 10.1093/imamci/dnn012

DO - 10.1093/imamci/dnn012

M3 - Article

AN - SCOPUS:63249101165

SN - 0265-0754

VL - 26

SP - 45

EP - 58

JO - IMA Journal of Mathematical Control and Information

JF - IMA Journal of Mathematical Control and Information

IS - 1

ER -

Delay-dependent dissipativity of singular time-delay systems

Abstract

Keywords

ASJC Scopus subject areas

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