publication . Article . 2016

fundamental limits and tradeoffs on disturbance propagation in linear dynamical networks

Milad Siami; Nader Motee;
  • Published: 30 Mar 2016 Journal: IEEE Transactions on Automatic Control, volume 61, pages 4,055-4,062 (issn: 0018-9286, eissn: 1558-2523, Copyright policy)
  • Publisher: Institute of Electrical and Electronics Engineers (IEEE)
We investigate performance deterioration in linear consensus networks subject to external stochastic disturbances. The expected value of the steady state dispersion of the states of the network is adopted as a performance measure. We develop a graph-theoretic methodology to relate structural specifications of the coupling graph of a linear consensus network to its performance measure. We explicitly quantify several inherent fundamental limits on the best achievable levels of performance and show that these limits of performance are emerged only due to the specific interconnection topology of the coupling graphs. Furthermore, we discover some of the inherent fund...
free text keywords: Multiprocessor interconnection, Dispersion (optics), Expected value, Coupling, Sparse matrix, Graph, Network topology, Mathematics, Steady state, Mathematical optimization
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