Quantitative analysis of passive systems interconnected on graphs
Masaki Inoue, Kengo Urata · Nonlinear Theory and Its Applications IEICE · 2018
This paper addresses quantitative performance analysis of an interconnected passive system.The passivity property, which provides a unified and abstracted description of dynamical systems, plays an important role for qualitative stability analysis of interconnected large-scale systems.In this paper, quantitative performance is further evaluated for the interconnected passive system.To this end, a performance-characterizing parameter is integrated into the conventional passivity.Then, by using the parameter, the L 2 -gain of the entire interconnected system is evaluated.Further assuming that the interconnection rule is described by a graph, more detailed performance analysis and its reinforcement via network expansion are studied.