Multidimensional Discrete Stability by Serre Categories and the Construction and Parametrization of Observers via Gabriel Localizations

@article{Scheicher2013MultidimensionalDS,
  title={Multidimensional Discrete Stability by Serre Categories and the Construction and Parametrization of Observers via Gabriel Localizations},
  author={Martin Scheicher and Ulrich Oberst},
  journal={SIAM J. Control. Optim.},
  year={2013},
  volume={51},
  pages={1873-1908}
}
Immediate predecessors of this work were a paper on two-dimensional deadbeat observers by Bisiacco and Valcher [Multidimens. Systems Signal Process., 19 (2008), pp. 287--306] and one on one-dimensional functional observers by Blumthaler [Linear Algebra Appl., 432 (2010), pp. 1560--1577] (compare also Fuhrmann's comprehensive paper [Linear Algebra Appl., 428 (2008), pp. 44--136]). The present paper extends Blumthaler's results to continuous or discrete multidimensional behaviors, i.e… 

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