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Controlling solutions to a linear differential equation

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Abstract

Both global attainability and global reducibility problems for a controllable system equivalent to a linear differential equation are positively solved. Furthermore, the existence of a linear equation having a given Cauchy matrix on a given segment and coinciding with given equations from the left and right of that segment is proved. The results obtained allow one to construct a linear equation with the fundamental solutions system possessing preassigned properties.

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References

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    I. N. Sergeev

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  1. I. N. Sergeev
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Additional information

Original Russian Text © I.N. Sergeev, 2009, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2009, Vol. 64, No. 3, pp. 25–33.

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Sergeev, I.N. Controlling solutions to a linear differential equation. Moscow Univ. Math. Bull. 64, 113–120 (2009). https://doi.org/10.3103/S0027132209030048

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  • DOI: https://doi.org/10.3103/S0027132209030048

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