一类正线性系统的整体性质

The nature of the whole for a class of positive linear systems

摘要: 研究能够保持线性变换后系统正性的系统矩阵A所需满足的条件,并提出了正规严正概念,解决了系统正交变换存在性问题,揭示了这类正规严正线性系统单个分量的运动行为决定整体运动的行为的性质.

Abstract: The problem of the system matrix meeting what conditions to maintain the linear transformation system positive is investigated for positive linear systems.After the concept of regular strict positive is proposed,the existence of orthogonal transformation is solved for these systems.Research also reveals the overall nature for regular strict positive linear systems,which is that the motion behavior of the single component determines the whole.