时滞系统的鲁棒稳定性分析

Analysis of Robust Stability for Systems with Delay

研究时滞系统的时滞独立稳定性和时滞相关稳定性问题。基于Ｂａｒｂａｌｅｔ引理，得到了一类检验线性时滞系统稳定性的简单条件。进一步研究了一类含非线性不确定性时滞系统的鲁棒稳定性问题。数值例子表明，所得到的结果比已有结果的保守性小。

On Barbalet′s lemma,the problems of delay-dependent stability and delay-independent stability for systems with delay are studied. A class of simple conditions testing stability for linear systems with delay are obtained. Further, the problems of robust stability for systems with delay and nonlinear uncertainty are studied. Comparing with the exiting literature, several examples show our results are less conservative.