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May 22, 2026
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Daria Davydova, graduate of the HSE Graduate School of Business and Head of the AI Implementation Unit at the Artificial Intelligence Department of Alfa-Bank, received a prize at the TECH & AI Awards. She was awarded for the best AI solution for optimising business processes. The winners were determined as part of the VII Russian Summit and Awards on Digital Transformation (CDO/CDTO Summit & Awards).
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On an Optimal Control Problem for the Wave Equation in One Space Dimension Controlled by Third Type Boundary Data

Ch. 10. P. 223–238.
Nikitin A. A.

In the present paper we study the boundary control by the third boundary condition on the left end of a string, the right end being fixed. An optimality criterion based on the minimization of an integral of a linear combination of the control itself and its antiderivative raised to an arbitrary power p≥1 is established. A method is developed permitting one to find a control satisfying this optimality criterion and write it out in the explicit form. The optimal control for p>1 is proved. Thereby proposed optimality criterion uniquely determines the optimal solution of boundary control problem under consideration.

Language: English
Text on another site
Keywords: partial differential equationдифференциальные уравнения с частными производными

In book

Progress in Partial Differential Equations
Progress in Partial Differential Equations
Vol. 44. , Springer, 2013.
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