DEDS的不可简约系统矩阵的周期性稳态分析

Analysis of Periodicity Steady-state for Irreducible Matrix of DEDS

由在 ( m ax,+ )上建立的 DEDS的状态空间表达式数学线性模型和描述闭环线性模型系统行为的递归方程组 (称为原始系列 )及对偶系列 ,对 DEDS行为的周期性与谱射影矩阵的分析 ,得到其递归方程组的解 ,从而确定 DEDS的系统矩阵具有周期性稳态过程 .

According to the state space representation of DEDS over (max,+) algebra and set of recurrent equations describing the behavior of closed systems and its dual systems,and by the analysis for the periodicity and spectral projector of DEDS, it obtained the solution of recurrent equations. Then, periodicity steady state behavior of the system matrix of DEDS could be determined.