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Under the cases of the linear interconnected systems with all its subsystems are one dimension, a theorem to judge the properties of single loop interactions has been given; the study also indicated that the properties of interactions cann't independent of the properties of subsystems in the multi-loop interaction conditions, and a all field root locus method has been proposed to decide the properties of interactions; a interaction stabilizable theorem has been given, and the efficacy of interactions with respect to the interconnected systems has been configured, Some primary results are reported which are induced by using a method of computer aided test to study block interactions, the stationary feedback efficacy of closed loop interactions have been discussed and a stability guess has been proposed.

本文提出互连系统的合作稳定性概念及其原理,给出了互连系统的本原稳定度、稳定中心、回路关连的级数以及关连的性质等基本定义;并在此基础上对线性互连系统进行关连分析,给出了一系列涉及到关连与互连系统稳定性关系的命题、引理、定理及其证明;其中,在子系统都是一维的线性定常互连系统情况,得出了单回路关连性质判断的定理;并指出在多回路关连条件下,关连的性质不能独立于子系统的性质,以及用全域根轨迹法判断关连性质的方法;给出了关连可稳定理,并对关连对互连系统的影响作用进行了分析。本文还用机辅试验的方法研究块阵关连并给出一些初步结果,本中还探讨了回路关连的静态反馈作用并提出一个判稳猜想。

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