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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。
The independent delay stability and the delay related stability of a time-delay system are investigated. Based on the Barbalet lemma, a simple condition for testing the stability of linear time-delay system is obtained. The problem of robust stability for a class of time-delay systems with nonlinear uncertainties is further studied. Numerical examples show that the results obtained are less conservative than the existing ones.