Frequency Analysis and Norms of Distributed Spatially Periodic Systems

@article{Fardad2008FrequencyAA,
  title={Frequency Analysis and Norms of Distributed Spatially Periodic Systems},
  author={Makan Fardad and Mihailo R. Jovanovix0107 and Bassam Bamieh},
  journal={IEEE Transactions on Automatic Control},
  year={2008},
  volume={53},
  pages={2266-2279}
}
We investigate several fundamental aspects of the theory of linear distributed systems with spatially periodic coefficients. We develop a spatial-frequency domain representation analogous to the lifted or frequency response operator representation for linear time periodic systems. Using this representation, we introduce the notion of the H2 norm for this class of systems and provide algorithms for its computation. A stochastic interpretation of the H2 norm is given in terms of spatially… CONTINUE READING
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