线性离散事件动态系统的鲁棒性

On the Robustness of Linear Discrete Event Dynamic Systems

应用极大代数,可对一类离散事件动态系统建立线性模型,本文讨论这类系统的鲁捧性,首先系统地讨论了系统中有一个参数发生摄动时对整个系统动态性能的影响,并对系统参数按照这种影响进行了分类,对于系统中有多个参数同时发生增性摄动的情况,给出了不影响系统动态性能的各个参数的允许摄动范围,亦即鲁棒性条件,这个范围在一定意义下是最大允许的参数摄动范围。

This paper discusses the robustness of discrete event dynamic systems described by recursive equations over Max-algebra .The performance variation of such system when a parameter varies is investigated .The system parameters are then classified into three categories according to their effects to the system performance.We also give the maximal allowable intervals of parameter variations in various cases in which the performance is guaranteed.