Stability of lineat time-delay systems: A descriptor model transformation

E. Fridman

doi:10.23919/ecc.2001.7076338

Stability of lineat time-delay systems: A descriptor model transformation

E. Fridman^*

^*Corresponding author for this work

School of Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A new (descriptor) model transformation and a corresponding Lyapunov-Krasovskii functional are introduced for stability analysis of systems with delays. Delay-dependent/delay-independent stability criteria are derived for linear retarded and neutral type systems with discrete and distributed delays. Conditions are given in terms of linear matrix inequalities and for the first time refer to neutral systems with discrete and distributed delays. The proposed criteria are less conservative than other existing criteria (for retarded type systems and neutral systems with discrete delays) since they are based on an equivalent model transformation and since they require bounds for fewer terms. Examples are given that illustrate advantages of our approach.

Original language	English
Title of host publication	2001 European Control Conference, ECC 2001
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2700-2705
Number of pages	6
ISBN (Electronic)	9783952417362
DOIs	https://doi.org/10.23919/ecc.2001.7076338
State	Published - 2001
Event	6th European Control Conference, ECC 2001 - Porto, Portugal Duration: 4 Sep 2001 → 7 Sep 2001

Publication series

Name	2001 European Control Conference, ECC 2001

Conference

Conference	6th European Control Conference, ECC 2001
Country/Territory	Portugal
City	Porto
Period	4/09/01 → 7/09/01

Keywords

Delay-dependent/delay-independent criteria
Linear matrix inequalities
Stability
Time-delay systems

Access to Document

10.23919/ecc.2001.7076338

Cite this

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abstract = "A new (descriptor) model transformation and a corresponding Lyapunov-Krasovskii functional are introduced for stability analysis of systems with delays. Delay-dependent/delay-independent stability criteria are derived for linear retarded and neutral type systems with discrete and distributed delays. Conditions are given in terms of linear matrix inequalities and for the first time refer to neutral systems with discrete and distributed delays. The proposed criteria are less conservative than other existing criteria (for retarded type systems and neutral systems with discrete delays) since they are based on an equivalent model transformation and since they require bounds for fewer terms. Examples are given that illustrate advantages of our approach.",

keywords = "Delay-dependent/delay-independent criteria, Linear matrix inequalities, Stability, Time-delay systems",

author = "E. Fridman",

note = "Publisher Copyright: {\textcopyright} 2001 EUCA.; 6th European Control Conference, ECC 2001 ; Conference date: 04-09-2001 Through 07-09-2001",

year = "2001",

doi = "10.23919/ecc.2001.7076338",

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series = "2001 European Control Conference, ECC 2001",

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Fridman, E 2001, Stability of lineat time-delay systems: A descriptor model transformation. in 2001 European Control Conference, ECC 2001., 7076338, 2001 European Control Conference, ECC 2001, Institute of Electrical and Electronics Engineers Inc., pp. 2700-2705, 6th European Control Conference, ECC 2001, Porto, Portugal, 4/09/01. https://doi.org/10.23919/ecc.2001.7076338

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AB - A new (descriptor) model transformation and a corresponding Lyapunov-Krasovskii functional are introduced for stability analysis of systems with delays. Delay-dependent/delay-independent stability criteria are derived for linear retarded and neutral type systems with discrete and distributed delays. Conditions are given in terms of linear matrix inequalities and for the first time refer to neutral systems with discrete and distributed delays. The proposed criteria are less conservative than other existing criteria (for retarded type systems and neutral systems with discrete delays) since they are based on an equivalent model transformation and since they require bounds for fewer terms. Examples are given that illustrate advantages of our approach.

KW - Delay-dependent/delay-independent criteria

KW - Linear matrix inequalities

KW - Stability

KW - Time-delay systems

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PB - Institute of Electrical and Electronics Engineers Inc.

Y2 - 4 September 2001 through 7 September 2001

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Stability of lineat time-delay systems: A descriptor model transformation

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