NEW RESULTS ON THE INTERPOLATION PROBLEM FOR CONTINUOUS-TIME STATIONARY INCREMENTS PROCESSES.

Michele Pavon

Research output: Contribution to journalArticlepeer-review

Abstract

Explicit solutions to the interpolation problem for continuous-time stationary increments processes with a rational spectral density are derived. To do so, a new approach to the problem that relies on stochastic realization theory is taken. In particular, it is shown that the optimal interpolator is completely characterized by two steady-state Kalman-Bucy estimates.

Original languageEnglish (US)
Pages (from-to)133-142
Number of pages10
JournalSIAM Journal on Control and Optimization
Volume22
Issue number1
DOIs
StatePublished - 1984

ASJC Scopus subject areas

  • Control and Optimization
  • Applied Mathematics

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