Admissibility analysis for linear singular systems with time-varying delays via neutral system approach. (March 2016)

• Record Type: Journal Article
• Authors: Liu, Zhou-Yang; Lin, Chong; Chen, Bing
• Is Part Of: ISA transactions. Volume 61(2016:Mar.)
• Page Start: 141
• Page End: 146
• Publication Date: 2016-03
• Subjects: Singular system -- Neutral system -- Admissibility -- Time-varying delay -- Wirtinger-based inequality; Engineering instruments -- Periodicals; Engineering instruments; Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.isatra.2015.12.019
• Languages: English
• ISSNs: 0019-0578

Abstract

Abstract: This paper studies the admissibility problem for a class of linear singular systems with time-varying delays. In order to highlight the relations between the delay and the state, the singular system is transformed into a neutral form. Then, an appropriate type of Lyapunov–Krasovskii functionals is proposed to develop a delay-derivative-dependent admissibility condition in terms of linear matrix inequalities. The derivation combines the Wirtinger-based inequality and reciprocally convex combination method. The present criterion is also for the stability test of retarded and neutral systems with time-varying delays. Some examples are provided to illustrate the effectiveness and the benefits of the proposed method. Abstract : Highlights: The neutral system approach is extended to deal with singular systems with time-varying delays. A delay-derivative-dependent admissibility condition in terms of linear matrix inequalities is obtained. The proposed method can be used in testing stability of retarded and neutral systems with time-varying delays. Simulation examples are provided to illustrate the effectiveness and the benefits of the proposed method.