Structure and Input-Output Properties in Networks of Nonlinear Systems.

摘要

In this project we developed an input-output approach to predict and engineer collective behavior in networks. This approach overcomes the complexity of the large-scale, nonlinear dynamical model by dividing the analysis and design tasks into two layers: At the network layer, we represent the nodes with appropriate input-output properties as abstractions of their detailed models and exploit these properties in conjunction with the interconnection structure to ascertain desirable behaviors. At the network layer, we represent the nodes with appropriate input-output properties as abstractions of their detailed models and exploit these properties in conjunction with the interconnection structure to ascertain desirable behaviors. At the node layer, we study the individual dynamical models to verify or assign the input-output properties without relying on knowledge of global network properties.