中文摘要：

针对一类具有范数有界不确定性和2个继发时变时滞的线性时滞不确定系统，研究了其时滞依赖鲁棒稳定性问题。通过定义充分利用时变时滞上下界信息的新型Lyapunov—Krasovskii泛函，并结合时滞系统相关处理方法和线性矩阵不等式方法，得到了时滞线性不确定系统鲁棒渐近稳定所满足的条件。为了降低结论的保守性，对某些项进行了较紧致的估计。此外，并未引入自由权矩阵。最后并通过2个数值仿真证实了方法的有效性和优越性。

英文摘要：

The problem of delay-dependent robust stability criteria is considered for a class of linear uncertain systems with two successive delay components in the state and norm bounded uncertainty. By exploiting a new Lyapunov-Krasovskii functional with information of the lower and upper bounds of the time-varying delay, and by making use of techniques for time-delay systems, the delay-dependent robust stability condition is obtained in the form of linear matrix inequality. In order to obtain much less conservative results, a tighter bounding for some terms is estimated. Moreover, no free-weight matrix is introduced. Finally, simulation examples show that the proposed method is effective and less conservative.