Exact Sequential Solutions for a Class of Discrete-Time Nonlinear Estimation Problems

Robert E. Kalaba and Leigh Tesfatsion ()

Staff General Research Papers Archive from Iowa State University, Department of Economics

Abstract: An exact procedure is developed for sequentially updating the optimal solution for a general discrete-time nonlinear least-squares estimation problem as the process length increases and new observations are obtained. The optimal sequential estimation equations are derived by means of an imbedding on two physically meaningful parameters, namely, the duration of the dynamical process and the value of the final observation. The optimal sequential estimation equations are contrasted with the approximate sequential estimation equations which would be obtained via extended Kalman filtering. Annotated pointers to related work can be accessed here: http://www2.econ.iastate.edu/tesfatsi/flshome.htm

Keywords: Nonlinear filtering; adaptive control; extended Kalman filtering (search for similar items in EconPapers)
JEL-codes: C1 C3 C5 (search for similar items in EconPapers)
Date: 1981-01-01
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Citations: View citations in EconPapers (1)

Published in IEEE Transactions on Automatic Control 1981, vol. AC-26, pp. 1144-1149

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Persistent link: https://EconPapers.repec.org/RePEc:isu:genres:11216

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