In this contribution, the transitivity property of commutative first-order linear time-varying systems with and without initial conditions is investigated. It is proven that transitivity property of first-order systems holds with and without initial conditions. On the base of impulse response function, transitivity of commutation property is formulated for any triplet of commutative linear time-varying relaxed systems. Transitivity proves are given for some special combinations of first and second-order linear time-varying systems which are initially relaxed.

中文翻译：

---

线性时变物理系统的交换性传递性

在这个贡献中，研究了有和没有初始条件的可交换一阶线性时变系统的传递性。证明一阶系统的传递性在有初始条件和无初始条件下都成立。在脉冲响应函数的基础上，对任意可交换线性时变松弛系统的三元组给出了对易性质的传递性。给出了初始松弛的一阶和二阶线性时变系统的一些特殊组合的传递性证明。