论文标题
被动线性离散时间系统：通过结构表征
Passive Linear Discrete-Time Systems: Characterization through Structure
论文作者
论文摘要
我们在这里表明，可以通过最大，矩阵凸照集的结构来表征有限维，离散时间，被动的，线性时间不变的系统的家族，并在其元素之间关闭。此外，该观察结果统一了三个设置：（i）差异夹杂物，（ii）矩阵值值的有理函数，（iii）与理性函数相关的实现阵列。事实证明，在连续时间的情况下，相应的结构是最大矩阵convex，圆锥，在反转下关闭。
We here show that the family of finite-dimensional, discrete-time, passive, linear time-invariant systems can be characterized through the structure of maximal, matrix-convex set, closed under multiplication among its elements. Moreover, this observation unifies three setups: (i) difference inclusions, (ii) matrix-valued rational functions, (iii) realization arrays associated with rational functions. It turns out that in the continuous-time case, the corresponding structure is of a maximal matrix-convex, cone, closed under inversion.
