Detection, Estimation, and Control on Group Manifolds.

Abstract

The emphasis of this continuing research effort was switched to discrete-time systems at the beginning of 1975, when the exponential Fourier densities (EFD's) were discovered on group manifolds. While this effort was pressed on to develop the full strength of the EFD's in the period covered by this report, our research took another turn and was mainly directed at the continuous-time bilinear systems again. The importance of such systems was repeatedly stated in preceding proposals and can not be overemphasized. We recall that optimal filtering of abelian bilinear systems was resolved. The existence of a finite-dimensional, recursive estimator was established for nilpotent Lie-algebraic bilinear systems. However, no attempt was made toward displaying the estimator equations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1978
Accession Number
ADA064453

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  • James T. Lo

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  • University of Maryland, Baltimore County

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