Aggregation of a class of interconnected, linear dynamical systems Academic Article

abstract

• In this paper, we introduce the notion of a "meaningful" average of a collection of dynamical systems as distinct from an "ensemble" average. Such a notion is useful for the study of a variety of dynamical systems such as traffic flow, power systems, and econometric systems. We also address the associated issue of the existence and computation of such an average for a class of interconnected, linear, time invariant dynamical systems. Such an "average" dynamical system is not only attractive from a computational perspective, but also represents the average behavior of the interconnected dynamical systems. The problem of analysis and control of heirarchical, large scale control systems can be simplified by approximating the lower level dynamics of such systems with such an average dynamical system.

authors

• Darbha, Swaroop
• Rajagopal, Kumbakonam

published proceedings

• SYSTEMS & CONTROL LETTERS

author list (cited authors)

• Darbha, S., & Rajagopal, K. R.

citation count

• 10

complete list of authors

• Darbha, S||Rajagopal, KR

publication date

• August 2001

publisher

• Elsevier  Publisher

published in

• Systems and Control Letters  Journal

keywords

• Average Dynamical Systems
• Ensemble Average
• Large-scale Systems
• Power Systems
• String Stability
• Traffic Flow Modeling

Digital Object Identifier (DOI)

• 10.1016/S0167-6911(01)00100-1

start page

• 387

end page

• 401

volume

• 43

issue

• 5

URL

• http://dx.doi.org/10.1016/s0167-6911(01)00100-1