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Minimization of the L p -norm with arbitrary p ≥ 1 of the derivative of a boundary displacement control on an arbitrary sufficiently large time interval T

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References

  1. Il’in, V.A. and Moiseev, E.I., Vestn. Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet., 2006, no. 3, pp. 6–18.

  2. Il’in, V.A., Uspekhi Mat. Nauk, 1960, vol. 15, no. 2, pp. 97–154.

    Google Scholar 

  3. Il’in, V.A., Differ. Uravn., 2000, vol. 36, no. 12, pp. 1670–1686.

    MathSciNet  Google Scholar 

  4. Akhiezer, N.I., Lektsii po teorii approksimatsii (Lectures on Approximation Theory), Moscow: Gostekhizdat, 1947.

    Google Scholar 

  5. Lions, J.-L., SIAM Rev., 1988, vol. 30, no. 1, pp. 1–68.

    Article  MathSciNet  Google Scholar 

  6. Vasil’ev, F.P., Differ. Uravn., 1995, vol. 31, no. 11, pp. 1893–1900.

    Google Scholar 

  7. Butkovskii, A.G., Teoriya optimal’nogo upravleniya sistemami s raspredelennymi parametrami (Theory of Optimal Control of Systems with Distributed Parameters), Moscow, 1985.

  8. Egorov, A.I., Dokl. Akad. Nauk Ukr. SSR, 1986, ser. A, no. 5, pp. 60–63.

  9. Il’in, V.A. and Moiseev, E.I., Dokl. Akad. Nauk, 2004, vol. 399, no. 6, pp. 727–731.

    MathSciNet  Google Scholar 

  10. Il’in, V.A. and Moiseev, E.I., Uspekhi Mat. Nauk, 2005, vol. 60, no. 6, pp. 89–114.

    MathSciNet  Google Scholar 

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Original Russian Text © V.A. Il’in, E.I. Moiseev, 2006, published in Differentsial’nye Uravneniya, 2006, Vol. 42, No. 11, pp. 1558–1570.

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Il’in, V.A., Moisseev, E.I. Minimization of the L p -norm with arbitrary p ≥ 1 of the derivative of a boundary displacement control on an arbitrary sufficiently large time interval T . Diff Equat 42, 1633–1644 (2006). https://doi.org/10.1134/S0012266106110139

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  • DOI: https://doi.org/10.1134/S0012266106110139

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