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

ISSN 印刷: 1064-2315
ISSN オンライン: 2163-9337

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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

要約

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.

参考

  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].