This paper is concerned with a kind of first-order singular differential system with impulses. Based on the Schaefer fixed-point theorem, some new verifiable algebraic criteria are given to ensure the controllability of bounded solutions for the considered system. The results obtained in this paper not only achieve the controllability of the singular differential system with impulses for the first time, but also complement the previous researches on singular differential system with impulses. Consequently, the results established are essentially new. Finally, the effectiveness of the obtained results are illustrated via a numerical example.

中文翻译：

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一阶带脉冲奇异型微分方程有界解的控制

本文涉及一类带脉冲的一阶奇异系统。基于Schaefer不动点定理，给出了一些新的可验证代数准则，以确保所考虑系统的有界解的可控制性。本文获得的结果不仅首次实现了带脉冲的奇异系统的可控性，而且补充了以往关于带脉冲的奇异系统的研究。因此，建立的结果本质上是新的。最后，通过数值例子说明了所得结果的有效性。