关联结构稳定性的块矩阵分析方法

Block Matrix Analysis for Connective Structural Stability

文章利用特征轨迹稳定的特性以及Gershgorin定理和Ostrowski定理,以块矩阵分析方法得到了关于一类分散系统关联结构稳定性的充分条件,并建立了基于M-矩阵的简单判稳准则,本文还对时滞、时变关联作了讨论。

In this paper a block matrix analysis method is used to describe and determine the connective structural stability of the decentralized systems. By the properties of the stable characteristic root locus in frequency domain as well as Gershgorin theorem and Ostrowski theorem, some sufficient conditions for the decentralized stability are obtained. The results lead to a simple criterion by using the properties of M-matrix. Moreover, the stability of the systems with time-delay and time-varying connections are discussed respectively.