用于离散事件系统研究的代数方法(四)

ALGEBRAIC METHOD USED FOR DISCRETE EVENT SYSTEM STUDY

  • 摘要: 和传统的控制理论一样,系统渐近行为的分析是可从自治系统 x=Ax 的特征值与特征向量的研究中得到.定义9.1(特征值与特征向量)对于矩阵 A(γ,δ),如果存在一非零多项式向量 x(γ,δ)及二整数m,n,满足x(γ,δ)=A(γ,δ)x(γ,δ)(modγnδm)则此二整数比 λ=m/n 为其特征值,而 x(γ,δ)为其特征向量.

     

    Abstract: Dioid theory(max algebra et al)is an important method of studing discrete event system.It has laid a foundation for further study,because not only it can describe the operational processes in detail but also a set of the"Linear" Discrete-Event Dynamic System theory has been developed.This paper emphasizes the introduction tothe theoretic basis of corresponding algebraic method and its new developments.