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Solving the maximum problem for the terminal norm of a linear control system

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Abstract

We consider the maximization problem for the terminal norm of a linear control system. We seek for the extremal controls and improve them. Based on a sufficient optimality condition, we construct procedures that use the differentiability of the support function of the set of attainability.

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Authors and Affiliations

  1. Irkutsk State University, ul. K.Marksa 1, Irkutsk, 664003, Russia

    N. S. Akhmedzhanova & S. N. Ushakova

Authors
  1. N. S. Akhmedzhanova
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  2. S. N. Ushakova
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Corresponding author

Correspondence to N. S. Akhmedzhanova.

Additional information

Original Russian Text © N.S. Akhmedzhanova and S.N. Ushakova, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No. 10, pp. 63–67.

Submitted by V.A. Srochko

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Akhmedzhanova, N.S., Ushakova, S.N. Solving the maximum problem for the terminal norm of a linear control system. Russ Math. 53, 57–60 (2009). https://doi.org/10.3103/S1066369X09100077

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  • DOI: https://doi.org/10.3103/S1066369X09100077

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