Stability of a Synchronization Control System for an Integrated Telephone Network

This paper is a sequel to previous papers which considered the characteristics of a proposed synchronization control system for an integrated telephone network. In those papers, delay of the paths of each junction, one for transmission and the other for control signal, were assumed to have the same value. Though the analysis produced exact expressions for the static and dynamic characteristics of the control system, this assumption is not likely to be found realistic, in many cases. The present work extends that condition into a case where the above-mentioned delays of the paths are not equal. The conclusion is reached that the stability limit of the network is chiefly defined by the path that has the shorter delay. The stability of a synchronization control system in sampled-data control mode is also discussed. It was clarified that the reduction of the sampling rate results in higher stability of the network.