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

E. Fridman*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

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 languageEnglish
Title of host publication2001 European Control Conference, ECC 2001
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2700-2705
Number of pages6
ISBN (Electronic)9783952417362
DOIs
StatePublished - 2001
Event6th European Control Conference, ECC 2001 - Porto, Portugal
Duration: 4 Sep 20017 Sep 2001

Publication series

Name2001 European Control Conference, ECC 2001

Conference

Conference6th European Control Conference, ECC 2001
Country/TerritoryPortugal
CityPorto
Period4/09/017/09/01

Funding

FundersFunder number
Ministry of Absorption of Israel

    Keywords

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

    Fingerprint

    Dive into the research topics of 'Stability of lineat time-delay systems: A descriptor model transformation'. Together they form a unique fingerprint.

    Cite this