In this paper, we provide an efficient approach based on combination of singular value decomposition (SVD) and Lyapunov function methods to finite-time stability of linear singular large-scale complex systems with interconnected delays. By representing the singular large-scale system as a differential-algebraic system and using Lyapunov function technique, we provide new delay-dependent conditions for the system to be regular, impulse-free and robustly finite-time stable. The conditions are presented in the form of a feasibility problem involving linear matrix inequalities (LMIs). Finally, a numerical example is presented to show the validity of the proposed results.

在本文中，我们提供了一种基于奇异值分解 (SVD) 和 Lyapunov 函数方法相结合的有效方法，用于具有互连延迟的线性奇异大规模复杂系统的有限时间稳定性。通过将奇异大规模系统表示为微分代数系统并使用李雅普诺夫函数技术，我们为系统提供了新的依赖于延迟的条件，使其成为规则的、无脉冲的和鲁棒有限时间稳定的。这些条件以涉及线性矩阵不等式 (LMI) 的可行性问题的形式呈现。最后，给出了一个数值例子来证明所提出结果的有效性。