A Structurally-Based Approach to Nonlinear Analysis and Design of Networks
National Science Foundation EECS 0852750
The dynamic behavior of various natural and technological networks is dictated by the structure of interactions between the components rather than by detailed properties of the components. This project is developing a new approach that exploits the network structure while broadly characterizing the components by their essential properties, such as passivity and time-scales, that are relevant to the ensemble behavior. This structurally-based approach promises to bridge the gap between nonlinear systems techniques and high-order, complex network models. The search for important network structures in this project is guided particularly by biochemical reaction networks which have evolved into several efficient circuit patterns in gene regulation, cell signaling, and biosynthetic pathways.