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

Author:

Noreddine Chaibi1ORCID,Sadek Belamfedel Alaoui1,El Houssaine Tissir1,Boukili Bensalem1

Affiliation:

1. LISAC, Faculty of Sciences Dhar el Mahraz, B.P. 1796, University Sidi Mohamed Ben Abdellah, Fez, Morocco

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Electrical and Electronic Engineering,Hardware and Architecture,Electrical and Electronic Engineering,Hardware and Architecture

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