离散奇异时滞系统时滞依赖稳定性分析与镇定

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Delay-dependent Stability Analysis and Stabilization of Discrete-time Singular Delay Systems

1.
Institute of Systems Science, Northeastern University, Shenyang 110004, P.R. China;
2.
Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, P.R. China;
3.
Department of Computer and Mathematics Teaching, Shenyang Normal University, Shenyang 110034, P.R. China;
4.
Transportation Management College, Dalian Maritime University, Dalian 116026, P.R. China

摘要: 分别研究了离散奇异时滞系统时滞依赖稳定性分析与镇定问题. 首先给出了一个新的离散奇异时滞系统时滞依赖容许性充分条件. 经过证明, 所提出的方法与现有结论相比, 具有一定的优势. 然后, 运用矩阵理论技巧，设计出状态反馈控制器保证闭环离散奇异时滞系统是容许的. 最后，两个数值例子说明了所用方法的有效性.
- 离散奇异时滞系统 /
- 时滞依赖稳定性 /
- 镇定 /
- 容许的 /
- 状态反馈控制
Abstract: In this paper, delay-dependent stability analysis and stabilization of discrete-time singular delay systems are addressed, respectively. First, a new delay-dependent sufficient condition of admissibility for discrete-time singular delay systems is derived. The proposed method is proved to have some advantages over the existing results. Then, by applying the skill of matrix theory, a state feedback controller is designed to guarantee the closed-loop discrete-time singular delay systems to be admissible. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed method.
- Discrete-time singular delay systems /
- delay-dependent stability /
- stabilization /
- admissible /
- state feedback control