Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5004204 | ISA Transactions | 2016 | 6 Pages |
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.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Zhou-Yang Liu, Chong Lin, Bing Chen,