Some Extremal Problems Linked with Identification from Partial Frequency Data

  title={Some Extremal Problems Linked with Identification from Partial Frequency Data},
  author={Daniel Alpay and Laurent Baratchart and Juliette Leblond},
We aim at tackling a robust identiication problem for a linear dynamical control system with incomplete frequency data. Its mathematical formulation is a generalization of dual extremal problems in H p to a subarc of the unit circle T T. Speciically, if I is such a subarc and J its complement in T T, we study existence and uniqueness of a H p function of bounded L p (J) norm which is a best approximation to a given function in L p (I). Finally, we consider the problem of computing the solution… CONTINUE READING
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