A two-layer transformation for characterizing the zeros of a network input-output dynamics

Abstract:

Many networks can be modeled as collections of subsystems with complex internal dynamics, which are dynamically coupled according to a weighted digraph. This article characterizes the input-output behavior of a network of coupled homogeneous single-input single-output subsystems, in the case where external actuation and measurement are each applied at a single (but possibly different) component. Precisely, a two-layer transformation of the network's dynamics is undertaken, which makes explicit the roles of 1) the local subsystem model, 2) the network's global interconnections (graph), and 3) the input and output locations, in determining the zeros of the input-output model. The analysis of the zeros via this special-coordinate-basis decomposition shows a parallel with the spectral analysis of the coupled-subsystem model, and directly gives insight into the network's input-output dynamics and its feedback control.

Año de publicación:

2015

Keywords:

Fuente:

scopus