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

Magdisadek MAHMOUD, Bilal KARAKİ
2021 Fundamental Journal of Mathematics and Applications  
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 from time-scale modeling (TSM) theory to develop rigorous reduced-order models to aid in the stability analysis of these multiple time-scale networked systems over fixed and undirected graph topology. We establish that the controller gain matrices can be determined by solving convex optimization problems in terms of finite linear
more » ... s of finite linear matrix inequalities with prescribed H ∞ and H 2 performance criteria. As demonstrated by simulation studies, the ensuing results provide designers with a network-centric approach to improve the performance and stability of such coupled systems.
doi:10.33401/fujma.815819 fatcat:cx6ois2slrfihbdk7oc4p4lyga