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Approximate optimal stabilization of solutions of a parabolic boundary-value problem by bounded control

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Nonlinear Oscillations

Abstract

For the problem of the optimal stabilization of a process described by a parabolic boundary-value problem, we construct and substantiate an approximate averaged feedback control (synthesis).

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References

  1. O. A. Ladyzhenskaya, Boundary-Value Problems in Mathematical Physics [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  2. J.-L. Lions, Contrôle Optimal de Systèmes Gouvernés par des Équations aux Dé rivées Partielles, Dunod, Paris (1968)

    Google Scholar 

  3. V. E. Kapustyan “Optimal stabilization of solutions of a parabolic boundary-value problem by a bounded concentrated control,” Probl. Upravl. Inform., No. 6, 58–67 (1999).

  4. O. A. Kapustyan “Approximate analysis of optimal control for a problem of optimal stabilization with rapidly oscillating coefficients,” Syst. Doslid. Inform. Tekhnol., No. 1, 29–38 ( 2005).

  5. V. V. Zhikov, S. M. Kozlov, and O. A. Oleinik, Averaging of Differential Operators [in Russian], Fizmatgiz, Moscow (1993).

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Translated from Neliniini Kolyvannya, Vol. 9, No. 2, pp. 264–279, April–June, 2006.

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Sukretna, A. Approximate optimal stabilization of solutions of a parabolic boundary-value problem by bounded control. Nonlinear Oscill 9, 257–273 (2006). https://doi.org/10.1007/s11072-006-0042-1

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  • DOI: https://doi.org/10.1007/s11072-006-0042-1

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