Admissibility analysis for linear singular systems with time-varying delays via neutral system approach

作者：Liu, Zhou-Yang; Lin, Chong^*; Chen, Bing

来源：ISA Transactions, 2016, 61: 141-146.

DOI：10.1016/j.isatra.2015.12.019

• Singular system
• Neutral system
• Admissibility
• Time-varying delay
• Wirtinger-based inequality

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.

• 出版日期2016-3
• 单位青岛大学; 北京航空航天大学