This article is cited in 1 paper

Nonlinear Systems

The optimal control problem for the coefficients of a parabolic equation under phase constraints

R. K. Tagiev, S. A. Gashimov

Baku State University, Baku, Azerbaijan

Abstract: For the optimal control problem on the coefficients of parabolic equations, we study correctness problems for the setting in the weak topology on the space of controls. We show that in this problem, the objective functional is bounded from below, the set of optimal controls is nonempty, and every minimizing sequence weakly converges to the set of optimal controls. We establish a necessary optimality condition in the form of a generalized Lagrange multiplier rule.

Presented by the member of Editorial Board: A. P. Krishchenko

Received: 09.02.2013

 English version: Automation and Remote Control, 2015, 76:8, 1347–1360

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