Abstract This paper investigates the problem of reachable set estimation for a general class of continuous-time singular linear systems with time-varying delay. By employing a new Lyapunov functional candidate, a criterion with the help of linear matrix inequalities (LMIs) is developed utilizing the new inequality scaling method, free-weighting matrix and the time-delay segmentation method. The reachable set of the underlying system is bounded by the intersection of ellipsoids. The effectiveness of our results are demonstrated by the examples.

中文翻译：

---

奇异系统可达集估计的改进结果

摘要 本文研究一类具有时变时滞的一般连续时间奇异线性系统的可达集估计问题。通过采用新的李雅普诺夫函数候选，利用新的不等式标度方法、自由加权矩阵和时滞分割方法，开发了一种借助线性矩阵不等式 (LMI) 的准则。底层系统的可达集以椭圆体的交集为界。例子证明了我们结果的有效性。