Optimal Control for Singular Perturbed Periodic Parabolic Equations with Nonlocal Boundary Value Conditions.

Autor: Kapustyan, V. E., Lazarenko, I. S.
Předmět:
Zdroj: Naukovi visti NTUU - KPI; 2011, Vol. 2011 Issue 5, p49-55, 7p
Abstrakt: This paper considers the issues of optimal control for singular perturbed by the spatial value linear parabolic equations with nonlocal boundary value conditions and the quadratic performance criterion. We construct the complete asymptotes of optimal solutions for the initial problem under optimal conditions by boundary functions method. Unlike similar problems for parabolic equations with local boundary value conditions, the iterative problems for boundary functions do not "decompose". We prove that their solutions belong to the class of boundary functions, and complete decompositions are asymptotes of solutions of the corresponding order for the initial problem. [ABSTRACT FROM AUTHOR]
Databáze: Supplemental Index