目前,广义系统的研究已成为控制理论的一个相当活跃的分支.在一些实际系统中,系统不仅具有广义性的特点,而且具有分散性的特点.基于广义系统的这种特点,最近中国科学院的王朝珠、王恩平研究了广义分散控制系统,[1]提出并研究了广义分散控制系统的无穷远固定模,得出了许多出色的结论.本文继续[1]的工作.本文的结论揭示了广义系统无穷远固定模与正常系统分散固定模的内在联系,进而表明一切用来判别分散控制系统固定模的方法均可相应地适用于广义系统无穷远固定模.

In this paper,the infinite fixed mode for the singular decentralized control systems is consi-dered.The relation between the infinite fixed mode in the signulat decentralized control systemsand the fixed modes in the decentralized control systems is obtained.It is showed that the trstof the nfinite fixed mode in the singular decentralized control systems is equivalent to the test ofwhether zero is a fixed mode of another decentralized control system.