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On Stable Reconstruction of the Impact in the System of Ordinary Differential Equations

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DOI: 10.4236/am.2010.12015    5,596 Downloads   11,505 Views   Citations

ABSTRACT

Approach to expansion of an opportunity of the reception the guaranteed estimation for a problem of reconstruction the impact within the limits of the dynamical algorithm is considered in the article.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

A. Vdovin and S. Rubleva, "On Stable Reconstruction of the Impact in the System of Ordinary Differential Equations," Applied Mathematics, Vol. 1 No. 2, 2010, pp. 118-123. doi: 10.4236/am.2010.12015.

References

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[2] A. Y. Vdovin and S. S. Rubleva, “On the Guaranteed Accuracy of a Dynamical Recovery Procedure for Controls with Bounded Variation in Systems Depending Linearly on the Control,” Mathematical Notes, Vol. 87, No. 3, 2010, pp. 316-335.
[3] A. Y. Vdovin, A. V. Kim and S. S. Rubleva, “On Asymptotic Accuracy in L1 of One Dynamical Algorithm for Reconstructing a Disturbance,” Proceedings of the Steklov Institute of Mathematics, Vol. 255, 2006, pp. 216-224.
[4] Y. S. Osipov, F. P. Vasilyev and M. M. Potapov, “Bases of the Method Dynamic Regulation,” in Russian, Moscow State University Press, Moscow, 1999.
[5] V. V. Voevodin and Y. A. Kuznetzov, “Matrixes and Calculations,” in Russian, Publishing House “Nauka”, Moscow, 1984.
[6] A. Albert, “Regression and the Moor–Penrose Pseudoinverse,” Academic Press, New York, 1972.
[7] P. A. Wedin, “Pertubation Theory for Pseudoinverces,” BIT Numerical Mathematics, Vol. 13, No. 2, 1973, pp. 217-232.

  
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