摘要
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对称组合大系统的性质.首先,通过系统变换,将原广义对称组合大系统转换为两个低阶的修正子系统,然后通过分析得到广义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,均可由这两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 was investigated.First,the original singular symmetric composite systems were transformed to two lower-order modified subsystems via system 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 Riccati equation) of this kind of large-scale systems can be determined by the corresponding properties of the two lower-order modified subsystems.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2005年第1期118-122,共5页
Control Theory & Applications
基金
辽宁省普通高校学科带头人基金资助项目(124210)
辽宁省科技基金资助项目(2001401041).
关键词
广义对称组合系统
固定模
分散正常化
能控性
能观性
singular symmetric composite systems
fixed modes
decentralized normalization
controllability
observability
