时滞项可微系统的时滞依赖的稳定性条件

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1.
College of Information Science and Engineering, Northeastern University, Shenyang 110004, P.R. China
2.
School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, P.R. China
3.
Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, P.R. China

Delay-dependent Stability Criteria for Systems with Differentiable Time Delays

1.
College of Information Science and Engineering, Northeastern University, Shenyang 110004, P.R. China;
2.
School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, P.R. China;
3.
Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, P.R. China

摘要: 本文研究了带有可微时滞项连续系统的稳定性问题. 通过利用时滞项导数的信息, 给出了改进的时滞系统渐近稳定性条件. 与已有的做法不同, 即便是时滞项导数的上界大于等于 1 时这个上界仍可被利用. 文中证明了所得结果比已有结果的保守性小. 同时, 由于涉及较少的决策变量, 计算复杂度也大为降低. 数例进一步说明了所得结果的有效性和少保守性.
- 时滞依赖的稳定性条件 /
- 线性矩阵不等式 /
- 时滞系统
Abstract: This paper studies the problem of stability for continuous-time systems with differentiable time-varying delays. By using the information of delay derivative, improved asymptotic stability conditions for time-delay systems are presented. Unlike the previous methods, the upper bound of the delay derivative is taken into consideration even if this upper bound is larger than or equal to 1. It is proved that the obtained results are less conservative than the existing ones. Meanwhile, the computational complexity of the presented stability criteria is reduced greatly since fewer decision variables are involved. Numerical examples are given to illustrate the effectiveness and less conservatism of the obtained stability conditions.
- Delay-dependent stability condition /
- linear matrix inequality (LMI) /
- time-delay systems