具有区间时变时滞的线性控制系统的稳定性

The Stability of Linear Control System with Interval Time-Varying Delay

利用改进的积分不等式方法和矩阵不等式的方法,对于时变的线性控制系统,给出了新的判断系统稳定的方法,判别系统稳定的准则是时滞相关,并且假设时滞是在一个区间内变化,且时滞导数的范围不受限制.通过具体实例说明与现有文献的结果相比,本文具有较小的保守性.

Using the method of integral inequality and matrix inequality,the author presents the new method to judge the system stability on time-varying linear control system.The author thinks the criterion of judging the system stability is delay-dependence and supposing the delay changes in the interval and the range of the delay derivative is not limited.The author uses some concrete examples to illustrate the essay is somewhat conservative comparing with the result of the existing documents.