A LMI approach to stability of descriptor systems with delay

E. Fridman*

*Corresponding author for this work

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

3 Scopus citations

Abstract

The Lyapunov second method is developed for linear coupled system of delay differential and functional equations. By conventional approaches such equations may be reduced to the neutral systems and the known results for the latter may be exploited. In the present paper we introduce a new approach by constructing Lyapunov-Krasovskii functional that corresponds directly to the descriptor form of the system. Moreover, by representing a neutral system in the descriptor form we obtain new stability criteria for neutral systems which lead to less conservative than the existing results. Sufficient conditions for delay-dependent/delay-independent stability are given in terms of linear matrix inequalities. Illustrative examples show the effectiveness of the method.

Original languageEnglish
Title of host publication2001 European Control Conference, ECC 2001
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2871-2876
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

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