2018
Том 70
№ 8

All Issues

Sukretna A. V.

Articles: 4
Article (Ukrainian)

Approximate stabilization for a nonlinear parabolic boundary-value problem

Kapustyan O. A., Kapustyan O. V., Sukretna A. V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2011. - 63, № 5. - pp. 654-661

For a problem of optimal stabilization of solutions of a nonlinear parabolic boundary-value problem with small parameter of a nonlinear summand, we justify the form of approximate regulator on the basis of the formula of optimal synthesis of the corresponding linear quadratic problem.

Article (Ukrainian)

Bounded approximate synthesis of the optimal control for the wave equation

Sukretna A. V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2007. - 59, № 8. - pp. 1094–1104

We consider the problem of optimal control for the wave equation. For the formulated problem, we find the optimal control in the form of a feedback in the case where the control reaches a restriction, construct an approximate control, and substantiate its correctness, i.e., prove that the proposed control realizes the minimum of the quality criterion.

Article (Ukrainian)

Approximate Averaged Synthesis of the Problem of Optimal Control for a Parabolic Equation

Kapustyan O. A., Sukretna A. V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2004. - 56, № 10. - pp. 1384–1394

For a problem of optimal control for a parabolic equation, in the case of bounded control, we construct and justify an approximate averaged control in the form of feedback.

Article (Ukrainian)

Averaged Synthesis of the Optimal Control for a Wave Equation

Kapustyan O. V., Sukretna A. V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2003. - 55, № 5. - pp. 612-620

For a wave equation, we determine an optimal control in the feedback form and prove the convergence of the constructed approximate control to the exact one.