On the controllability and observability of Cartesian product networks

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...

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Bibliographic Details
Published in2012 IEEE 51st IEEE Conference on Decision and Control (CDC) pp. 80 - 85
Main Authors Chapman, A., Nabi-Abdolyousefi, M., Mesbahi, M.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.2012
Subjects
Composite networks
Controllability
Coordination algorithms
Eigenvalues and eigenfunctions
Graph Cartesian product
Laplace equations
Network controllability
Network observability
Observability
Output feedback
Power system dynamics
Vehicle dynamics
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Summary: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.
ISBN:9781467320658
146732065X
ISSN:0191-2216
DOI:10.1109/CDC.2012.6426230