Dynamic networks and area aggregation

Abstract

We have used the center of inertia variables to develop an aggregation method for both first and second order dynamic networks. The spirit of the method follows the concept of Simon and Ando [50] that aggregation be based on physical phenomena, and thus is different from the analytical approaches in [2, 56]. The method leads directly to a set of structural conditions under which a dynamic network will be aggregable. A coherency interpretation of the aggregability condition will be given in the next chapter.

The payoff of the aggregation method will be more apparent in Chapter 6 when it is used to separate time-scales and in Chapter 7 when it is applied to nonlinear dynamic networks.