This paper addresses the reachable sets bounding problem for time-delay positive singular systems subject to bounded disturbances. The time delays in the considered systems are assumed to be time-varying. Both invariant and time-varying singular systems are investigated in this paper. Existence conditions of componentwise ultimate bounds of the state vector of considered systems are derived and given in terms of the spectral abscissa of the system matrices, which are easy to be checked. The obtained results are demonstrated by two numerical examples.

中文翻译：

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具有界扰动的时滞奇异系统可达集有界的新结果。

本文研究了有界扰动的时滞正奇异系统的可达集界问题。假定所考虑系统中的时间延迟是随时间变化的。本文研究了不变和时变奇异系统。根据系统矩阵的谱横坐标推导并给出了所考虑系统的状态向量的分量最终极限的存在条件，并给出了这些条件，易于检查。所获得的结果通过两个数值示例得到证明。