[PDF][PDF] Kronecker product of networked systems and their approximates
21st International Symposium on the Mathematical Theory of …, 2014•depts.washington.edu
The paper presents a system theoretic analysis of network-of-networks which are formed
from smaller factor networks via graph Kronecker products. We provide a compositional
framework for extending trajectories, stabilizability, controllability and observability of the
factor networks to that of the composite network-of-networks. We proceed to delve into the
effectiveness of applying these composite features to approximate Kronecker product
networks. Examples are provided throughout to illustrate the results.
from smaller factor networks via graph Kronecker products. We provide a compositional
framework for extending trajectories, stabilizability, controllability and observability of the
factor networks to that of the composite network-of-networks. We proceed to delve into the
effectiveness of applying these composite features to approximate Kronecker product
networks. Examples are provided throughout to illustrate the results.
Abstract
The paper presents a system theoretic analysis of network-of-networks which are formed from smaller factor networks via graph Kronecker products. We provide a compositional framework for extending trajectories, stabilizability, controllability and observability of the factor networks to that of the composite network-of-networks. We proceed to delve into the effectiveness of applying these composite features to approximate Kronecker product networks. Examples are provided throughout to illustrate the results.
depts.washington.edu
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