State equations for nonrational spectra

Donald C. Washburn

doi:10.1117/12.356972

3 August 1999 State equations for nonrational spectra

Donald C. Washburn

Proceedings Volume 3706, Airborne Laser Advanced Technology II; (1999) https://doi.org/10.1117/12.356972
Event: AeroSense '99, 1999, Orlando, FL, United States

Abstract

This paper develops an infinite dimensional theory for filtering and control in the presence of non-rational spectra. It begins with a review of the original work of A.V. Balakrishnan for the continues time case. This work formulates an auxiliary state space signal model for the case of non-rational spectra. The result is the recovery of Kalman like signal generation models with the resulting separation principle for control. New results, based on unpublished notes of Balakrishnan, on discretization of the model are developed. Although the results can and will be generalized, this paper only covers the 1D theory.

Citation Download Citation

Donald C. Washburn "State equations for nonrational spectra", Proc. SPIE 3706, Airborne Laser Advanced Technology II, (3 August 1999); https://doi.org/10.1117/12.356972

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