We here show that the family of continuous-time linear systems (of prescribed dimensions) can be characterized through the structure of maximal, matrix-convex, cones, closed under inversion. Moreover, this observation unifies three setups: (i) differential inclusions, (ii) matrix-valued rational functions, (iii) realization arrays associated with rational functions. It turns out that in the discrete-time case, the corresponding structure is of a maximal matrix-convex set, closed under multiplication among its elements

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无源线性连续时间系统：通过结构表征

我们在这里表明，连续时间线性系统族（具有规定的维度）可以通过极大的、矩阵凸的、锥体的结构来表征，在反转下是封闭的。此外，该观察统一了三种设置：(i) 微分包含，(ii) 矩阵值有理函数，(iii) 与有理函数相关的实现数组。事实证明，在离散时间的情况下，相应的结构是一个最大矩阵凸集，在其元素之间的乘法下封闭