Admissibility analysis for linear singular systems with time-varying delays via neutral system approach
Zhou-Yang Liu1, Chong Lin2, Bing Chen2
1Institute of Complexity Science, Qingdao University, Qingdao 266071, PR China; School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, PR China.
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.
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