Journal article
Controllability and observability of network-of-networks via cartesian products
A Chapman, M Nabi-Abdolyousefi, M Mesbahi
IEEE Transactions on Automatic Control | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC | Published : 2014
Abstract
The paper presents a system theoretic analysis framework for a network-of-networks, formed from smaller factor networks via graph Cartesian products. We provide a compositional framework for extending the controllability and observability of the factor networks to that of the composite network-of-networks. We then delve into the effectiveness of designing control and estimation algorithms for the composite network via its symmetry and gramian structure. An example demonstrating the usefulness of our results in the context of social networks with a Cartesian product structure is then presented.
Grants
Funding Acknowledgements
Manuscript received May 20, 2013; revised November 23, 2013; accepted April 30, 2014. Date of publication June 4, 2014; date of current version September 18, 2014. This paper was presented in part at the Proceeding of the 51st IEEE Conference on Decision and Control. This work was supported in part by AFOSR grant FA9350-12-1-0203-DEC and the U.S. Army Research Laboratory and the U.S. Army Research Office under contract W911NF-13-1-0340. Recommended by Associate Editor D. Bauso.