Controllability and observability of network-of-networks via Cartesian products
A Chapman, M Nabi-Abdolyousefi… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
IEEE Transactions on Automatic Control, 2014•ieeexplore.ieee.org
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 …
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 …
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.
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