On the controllability and observability of Cartesian product networks

Author

Chapman, Airlie ; Nabi-Abdolyousefi, Marzieh ; Mesbahi, Mehran

Author_Institution

Dept. of Aeronaut. & Astronaut., Univ. of Washington, Seattle, WA, USA

fYear

2012

fDate

10-13 Dec. 2012

Firstpage

80

Lastpage

85

Abstract

The paper presents an analysis framework for a class of dynamic composite networks. These networks are formed from smaller factor networks via graph Cartesian products. We provide a composition method for extending the controllability and observability of the factor networks to that of the composite network. We then delve into the effectiveness of designing control and estimation algorithms for the composite network via symmetry in the network. Examples and applications are provided throughout the paper to demonstrate the results including a distributed output feedback stabilizer and a social network application.

Keywords

control system synthesis; controllability; feedback; graph theory; observability; stability; Cartesian product network; composition method; control design; controllability; distributed output feedback stabilizer; dynamic composite network; estimation algorithm; factor network; graph Cartesian product; observability; social network; Controllability; Eigenvalues and eigenfunctions; Laplace equations; Observability; Output feedback; Power system dynamics; Vehicle dynamics; Composite networks; Coordination algorithms; Graph Cartesian product; Network controllability; Network observability;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2012 IEEE 51st Annual Conference on

Conference_Location

Maui, HI

ISSN

0743-1546

Print_ISBN

978-1-4673-2065-8

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2012.6426230

Filename

6426230