By relying on the recently introduced notion of transfer function for linear hybrid systems with periodic jumps, herein we extend, for the first time, frequency-domain analysis tools – well-known and extensively used in the context of purely continuous or discrete time systems – to such a class of hybrid systems. In fact, knowledge of the transfer function allows for the frequency-domain definition of the notion of 0-th momentof the underlying hybrid system, which is instrumental, e.g. for the solution to model reduction or input-output system identification problems. It is shown, in addition, that the notion of moment based on the hybrid transfer function possesses an interesting time-domain counterpart, hence extending the results obtained for purely continuous-time systems. To further substantiate the theoretical claims, the paper is concluded by the frequency-domain robustness analysis of the classical consensus protocol in the presence of sampled measurements.

借助最近引入的具有周期性跳跃的线性混合系统的传递函数概念，我们在此首次扩展了频域分析工具-众所周知，在纯连续或离散时间系统中广泛使用-这类混合系统。实际上，对传递函数的了解允许对基础混合系统的第0矩概念进行频域定义，这很有用，例如。用于模型简化或输入输出系统识别问题的解决方案。此外，还表明，基于混合传递函数的矩概念具有有趣的时域对应物，因此扩展了纯连续时间系统获得的结果。为了进一步证实理论上的主张，本文通过存在采样测量的经典共识协议的频域鲁棒性分析得出结论。