Detecting topology variations in networks of linear systems with static coupling

Abstract

This paper considers the problem of detecting topology variations in networks of linear dynamical systems interconnected via static coupling. The problem of interest is that of finding conditions under which it is possible to detect node or link disconnections from prior knowledge of the nominal network behavior and on-line measurements from all or a fraction of network nodes. Necessary and sufficient conditions for detectability are given. The considered approach makes use of analysis tools from switching system theory.