Merging Undirected Networks: A Stability Margin Perspective

Abstract

This paper is concerned with merging undirected networks based on the stability margin criterion. While each network having ample stability margin, the merged network can lose its stability margin to a great extent after interconnecting the original networks. Therefore, it is important to check the stability margin of the network after merging networks. In this note, the main objective is to provide guarantee for the stability margin of the merged network. At first, we do analysis on the stability margin of undirected networks with certain class of transfer functions as network's local dynamics. Then, using those results, we propose merging schemes for undirected networks.