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Accession Number:
ADP002372
Title:
A Minimization Method for Engineering Estimation,
Corporate Author:
LOCKHEED MISSILES AND SPACE CO INC SUNNYVALE CA
Report Date:
1983-05-01
Abstract:
This paper obtains a convergence-criterion for optimal estimation by constructing a mathematical theory of ordering, based upon topological and algebraic concepts. This theory provides the model for minimizing the variance of error associated with the estimators of a true state. Thus it is a supplement to the classical Kalman filtering approach. The theory is first described in mathematical terms, as an ordering structure consisting of these entities a non-empty set of estimators, a binary relation of comparison between estimators, and a closed binary operation that composes the estimators in some prescribed fashion. A triple consisting of these entities of an ordering structure, if and only if the axioms of weak order, associativity, monotonocity, and Archimedean property are satisfied. A weak representation theorem is stated regarding the existence of an order-preserving real-valued function on the set of estimators.
Supplementary Note:
This article is from 'Proceedings of the International Symposium on Multiple-Valued Logic (13th) Held at Kyoto, Japan on May 23-25, 1983,' AD-A136 457, p337-341.
Pages:
0005
File Size:
0.00MB
