title: Admissibility analysis for linear singular systems with time-varying delays via neutral system approach.
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.
authors.affiliation: Institute of Complexity Science, Qingdao University, Qingdao 266071, PR China; School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, PR China.
authors.forename: Zhou-Yang
authors.initials: ZY
authors.lastname: Liu
authors.affiliation: Institute of Complexity Science, Qingdao University, Qingdao 266071, PR China. Electronic address: linchong_2004@hotmail.com.
authors.forename: Chong
authors.initials: C
authors.lastname: Lin
authors.affiliation: Institute of Complexity Science, Qingdao University, Qingdao 266071, PR China.
authors.forename: Bing
authors.initials: B
authors.lastname: Chen
keywords: Admissibility; Neutral system; Singular system; Time-varying delay; Wirtinger-based inequality