Discrete Networked Dynamic Systems with Eigen-Spectrum Gap: Analysis and Performance

Abstract

This paper provides a detailed analysis and performance treatment of a class of discretetime systems with an eigen-spectrum gap coupled over networks. We deploy tools fromtime-scale modeling (TSM) theory to develop rigorous reduced-order models to aid in thestability analysis of these multiple time-scale networked systems over fixed and undirectedgraph topology. We establish that the controller gain matrices can be determined by solvingconvex optimization problems in terms of finite linear matrix inequalities with prescribedH∞ and H2 performance criteria. As demonstrated by simulation studies, the ensuing resultsprovide designers with a network-centric approach to improve the performance and stabilityof such coupled systems.