1 research outputs found
Scaling Laws for Disturbance Propagation in Cyclic Dynamical Networks
Our goal is to analyze performance of stable linear dynamical networks
subject to external stochastic disturbances. The square of the -norm of the network is used as a performance measure to quantify the
expected steady-state dispersion of the outputs of the network. We show that
this performance measure can be tightly bounded from below and above by some
spectral functions of the state-space matrices of the network. This result is
applied to a class of cyclic linear networks and shown that their performance
measure scale quadratically with the network size.Comment: 14 pages; submitted for possible journal publication. arXiv admin
note: text overlap with arXiv:1403.149