中文摘要：

开关变换器这类周期型切换线性系统在一个周期之后是能控能观的。文中针对已有文献给出的判定方法存在过于复杂、不易理解的缺点，以不连续导电模式下Buck开关变换器为研究对象，提出了一种基于线性代数矩阵基本理论的简易判定方法。与以往的判定方法比较，该方法不仅具有概念清晰、易于理解等特点，同时还具有广泛的普适性，可应用于其他开关变换器中。

英文摘要：

In this paper, a simplified judgement method for the controllability and observability which is based on the linear algebra theory for a kind of buck converter working in discontinuous conduction mode is proposed. The criterion is with clear concept and easy to understand compared with the available ones. This method could have the universality and can be applied to other switc hing converters.