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Improved Results on Stability Criteria for Singular Systems with Interval Time-Varying Delays.

Authors :
Noreddine, Chaibi
Sadek, Belamfedel Alaoui
El Houssaine, Tissir
Boukili, Bensalem
Source :
Journal of Circuits, Systems & Computers; Jan2021, Vol. 30 Issue 1, pN.PAG-N.PAG, 18p
Publication Year :
2021

Abstract

The purpose of this paper is to address the problem of assessing the stability of singular time-varying delay systems. In order to highlight the relations between the delay and the state, the singular system is transformed into a neutral form. Then, a model transformation using a three-terms approximation of the delayed state is exploited. Based on the lifting method and the Lyapunov–Krasovskii functional (LKF) method, a new linear matrix inequality (LMI) is obtained, allowing conclusions on stability to be drawn using the scaled small gain theorem (SSG). The use of SSG theorem for stability of singular systems with time-varying delay has not been investigated elsewhere in the literature. This represents the main novelty of this article. The result is applicable for assessing the stability of both singular systems and neutral systems with time-varying delays. The less conservativeness of the stability test is illustrated by comparison with recent literature results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02181266
Volume :
30
Issue :
1
Database :
Complementary Index
Journal :
Journal of Circuits, Systems & Computers
Publication Type :
Academic Journal
Accession number :
148446415
Full Text :
https://doi.org/10.1142/S0218126621300014