Aggregation of a Class of Large-Scale, Interconnected, Nonlinear Dynamical Systems Conference Paper uri icon


  • Abstract In a previous paper, we discussed the characteristics of a meaningful average of a collection of dynamical systems, and introduced as well as contructed a meaningful average that is not usually what is meant by an ensemble average. We also addressed the associated issue of the existence and construction of such an average for a class of interconnected, linear, time invariant dynamical systems. In this paper, we consider the issue of the construction of a meaningful average for a collection of a class of nonlinear dynamical systems. The construction of the meaningful average will involve integrating a nonlinear differential equation, of the same order as that of any member of the systems in the collection. Such an average dynamical system is not only attractive from a computational perspective, but also represents the macroscopic behavior of the interconnected dynamical systems. An average dynamical system can be used in the analysis and design of hierarchical systems.

name of conference

  • Dynamic Systems and Control: Volume 1

published proceedings

  • Dynamic Systems and Control: Volume 1

author list (cited authors)

  • Darbha, S., & Rajagopal, K. R.

citation count

  • 0

complete list of authors

  • Darbha, Swaroop||Rajagopal, KR

publication date

  • November 2000