Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2015-4pp.350-357

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A.M. Shmatkov, "A smoothing filter based on an analogue of a Kalman filter for a guaranteed estimation of the state of dynamical systems," J. Appl. Math. Mech. 79 (4), 350-357 (2015)
Year 2015 Volume 79 Issue 4 Pages 350-357
DOI 10.1016/j.jappmathmech.2016.01.005
Title A smoothing filter based on an analogue of a Kalman filter for a guaranteed estimation of the state of dynamical systems
Author(s) A.M. Shmatkov (Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia, shmatkov@ipmnet.ru)
Abstract The equations of a smoothing filter are obtained based on a filter for the guaranteed estimation of the state of dynamical systems, similar to the classical Kalman filter. Particular attention is paid to the link between the probabilistic approach to the processing of inexact measurements of the phase vector of dynamical systems with uncertainties and the method of ellipsoids. The procedure for applying the relations obtained is demonstrated using a simple mechanical system as an example.
Received 07 October 2014
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