有界灰阵稳定性的研究

Research on the Stability of Bounded Grey Matrix

提出了有界灰阵的中心矩阵及灰阵的概念;依据矩阵及特征值的性质并运用矩阵测度的方法,研究了有界灰阵A((?))的稳定性问题,仅用最小与最大白化阵获得一些较简捷的判据,从而为灰色线性系统x(t)=A((?))x(t)(*)的稳定性提供了新的判别条件.

This paper presents the concepts of centre matrix and grey degree matrix about grey matrix with boundary. According to the properties of matrix and its characteristic value, the problem of stability of bounded grey matrix A （was stuied by using the process of matrix measure, some direct judgements were given in which the maximum and minimum of white matrix were merely used. Hence an newly judge condition is suggest for the grey linear system.