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Journal of Automation and Information Sciences
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN Print: 1064-2315
ISSN Online: 2163-9337

Volumes:
Volume 51, 2019 Volume 50, 2018 Volume 49, 2017 Volume 48, 2016 Volume 47, 2015 Volume 46, 2014 Volume 45, 2013 Volume 44, 2012 Volume 43, 2011 Volume 42, 2010 Volume 41, 2009 Volume 40, 2008 Volume 39, 2007 Volume 38, 2006 Volume 37, 2005 Volume 36, 2004 Volume 35, 2003 Volume 34, 2002 Volume 33, 2001 Volume 32, 2000 Volume 31, 1999 Volume 30, 1998 Volume 29, 1997 Volume 28, 1996

Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v46.i1.30
pages 20-29

Guaranteed Estimation of Parameters of Linear Algebraic Equations for Nonstationary Observations

Alexander G. Nakonechnyi
Kiev National Taras Shevchenko University, Kiev
Sergey V. Demydenko
Kiev National Taras Shevchenko University

ABSTRACT

Estimates of solutions of linear algebraic equations with degenerated matrixes and unknown right-hand parts are considered. For nonstationary observations of equations solutions with errors, which are random processes with the given first and second moments, we investigate the problems of representation of root-mean-square estimates using solutions of systems of algebraic equations.

REFERENCES

  1. Nakonechnyi A.G. , Estimation of parameters under uncertainty.

  2. Nakonechnyi A.G. , Minimax estimation of functionals of solutions of variational equations in the Hilbert space [in Russian].

  3. Kuntsevich V.M. , Control under uncertainty: guaranteed results in problems of control and identification [in Russian].

  4. Zhuk S.M., Nakonechnyi A.G. , Estimation of solutions of algebraic-differential equations under uncertainty [in Ukrainian].

  5. Demidenko S.V., Nakonechnyi A.G., Zhuk S.M. , On the problem of minimax estimation of solutions of one-dimensional boundary value problems.

  6. Albert A. , Regression, pseudoinversion amd recurrent estimation [Russian translation].