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Optimal control over the heat field in thin bodies local constraints on control

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Abstract

Asymptotic solutions of problems of optimal locally constrained control over the heat field in thin bodies are constructed and justified. These problems relate to the critical case of singularly perturbed systems (the degenerate problem has a family of solutions).

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References

  1. V. E. Kapustyan, “Optimal constrained control over the heat field in thin bodies,”Dokl. Akad. Nauk Ukrainy, No. 11, 84–88 (1993).

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Additional information

Dnepropetrovsk Technical University of Railway Transport, Dnepropetrovsk. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 48, No. 9, pp. 1200–1208, September, 1996.

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Kapustyan, V.E. Optimal control over the heat field in thin bodies local constraints on control. Ukr Math J 48, 1361–1370 (1996). https://doi.org/10.1007/BF02595358

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  • DOI: https://doi.org/10.1007/BF02595358

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