Network-of-Networks

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    Scalability is a common challenge to modeling large networks. There are many graph based tools that can be exploited to factorize the network interaction topology, but the network interaction dynamics can rarely be decomposed in the same manner. We explore network-of-networks that exhibit this property.

     

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    Publications:
  • Airlie Chapman, Marzieh Nabi-Abdolyousefi and Mehran Mesbahi (2014) "Controllability and Observability of Network-of-Networks via Cartesian Products". In IEEE Transactions on Automatic Control. (to appear)
  • Airlie Chapman and Mehran Mesbahi (2014) Kronecker Product of Networked Systems and their Approximates, 1426-1431. In 21st International Symposium on Mathematical Theory of Networks and Systems. Slides
  • Airlie Chapman, Marzieh Nabi-Abdolyousefi and Mehran Mesbahi (2012) Controllability and Observability of Cartesian Product Networks, 80-85. In Proc. of the IEEE Conference on Decision and Control. (Invited Paper) Slides
  • Airlie Chapman and Mehran Mesbahi (2012) Cartesian products on Z-Matrix networks: Factorization and interval analysis. In 20th International Symposium on Mathematical Theory of Networks and Systems. Slides
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