【作者】 姜偕富； 徐文立；

【Author】 Jiang Xiefu Xu Wenli (Department of Automation, Tsinghua University, Beijing, 100084)

【机构】 清华大学自动化系；

【摘要】 针对带有状态时滞的线性时滞系统,基于适当形式的Lyapunov泛函,讨论了时滞相关与时滞无关综合稳定性分析问题,其中系统的稳定性条件由一个线性矩阵不等式的形式给出。与通常所采用的导出时滞相关型稳定性判据的方法相比,由于只进行了一次交叉不等式的放大,因而本文的结论具有较小的保守性。此外,由于该稳定性判据部分依赖于时滞,因而与时滞无关型稳定性判据相比具有较小的保守性,与时滞相关型稳定性判据相比具有较大的稳定性范围。最后通过示例说明该稳定性分析方法的有效性。更多还原

【Abstract】 Based on an appropriate Lyapunov functional, the problem about the delay-dependent and delay-independent comprehensive stability for linear systems with state delay is discussed. The stability condition is given via a linear matrix inequality. Due to only one cross term should be bounded, our result is less conservative than normal delay-dependent stability methods. In addition, because our stability condition is partly delay-dependent, it is less conservative than delay-independent stability one, and has larger stability scope than normal delay-dependent stability one. Finally, two examples are presented to demonstrate the effectiveness of our results.更多还原