Open AccessAsymptotic optimal control over elliptic system with special characteristics
Author(s) -
Yu.N. Gorgo
Publication year - 1998
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/249806
Subject(s) - mathematics , gravitational singularity , boundary (topology) , limit (mathematics) , optimal control , derivative (finance) , square (algebra) , mathematical analysis , control (management) , boundary problem , construct (python library) , mathematical optimization , computer science , geometry , artificial intelligence , financial economics , economics , programming language
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.