This article is cited in 6 papers

Approximate solution of optimization problems for infinite-dimensional singular systems

S. Ya. Serovaĭskiĭ

Al-Farabi Kazakh National University

Abstract: An optimal control problem is considered for a system described by a singular equation of parabolic type. The study bases on a special regularization method. We establish existence of a solution to the regularized problem, as well as the corresponding necessary optimality conditions. The results enable us to find an approximate solution to the original problem even in the absence of solvability.

Keywords: optimal control, singular system, regularization, approximate solution.

UDC: 517.977

Received: 27.11.2001

 English version: Siberian Mathematical Journal, 2003, 44:3, 519–528

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