【摘要】 在分析一类离散事件动态系统的运行周期性及稳定性时,必须求解极大代数意义下矩阵的特征值。这一直被认为是十分困难的工作。直至目前为止,尚无一种能确定任一方阵全部特征值及特征向量的简易方法。本文对极大代数意义下任一方阵的幂矩阵的周期性特征进行了深入分析。本文的结果为寻求计算特征值及特征向量的新算法提供了十分有效的途径。更多还原

【Abstract】 As well known, it is necessary to determining the eigenvalues and eigenvectors of a matrix in Max-algebra for analyzing stability of discrete event dynamic syslems(DEDS) by using Max-algebra. But it is very difficult.In this paper, the Periodicity of Power Matrices in Max-algebra is discussed in detail. And some important conclusions are given. The conclusions provide a new way and means for determining the eigenvalues and eigenvectors of a matrix in Max-algebra.更多还原