Asymptotic optimal control over elliptic system with special characteristics

Yu.N. Gorgo (Dnipropetrovsk State Technical University of Railway Transport)

Abstract


We construct and substantiate the solution of two-dimensional problem of the optimal distributed control over elliptic system with small parameter at higher derivative in an elementary region - in a square. We assume that the characteristics of limit control coincide with part of region boundary, and the control is unbounded.
We show that the solutions of this problem have increasing singularities on some internal sets and, therefore, that the problem is bisingular.

References


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Lions J.-L. Optimal control over systems that are described by partial differential equations, 1972. (in Russian)

Martynenko V.S. Operational Calculus, 1973. (in Russian)

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DOI: https://doi.org/10.15421/249806

  

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Copyright (c) 1998 Yu.N. Gorgo

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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