广义拟对称组合系统的结构分析

Structure Analysis of Singular Large-scale Combined Systems

研究了由若干个相同的广义线性子系统以对称的内联方式构成的广义拟对称组合大系统的性质。首先,通过系统变换,将原广义拟对称组合大系统转换为n个低阶的修正子系统,然后通过分析得到广义拟对称组合大系统的稳定性、能控性、能观性、固定模的存在性、分散正常化、Lyapunov方程和Riccati方程的解等性质,均可由这n个低阶的修正子系统的相应性质来描述。

A class of singular systems with symmetric interconnected and identical structure were investigated. First, the original singular symmetric composite systems were transformed to n lower-order modified subsystems via systems transformation; Then it was found that the characteristics（such as stability,controllability, observability the existence of fixed modes, decentralized normalization, the solution to the Lyapunov equation and Riccaft equation）of this kind of large-scale systems can be determined by the corresponding properties of the n lower-order modified subsystems.