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Algebra i Analiz, 2022 Volume 34, Issue 3, Pages 115–130 (Mi aa1811)

Research Papers

Summation method in optimal control problem with delay

P. Barkhayevab, Yu. Belovc, Yu. Lyubarskiĭb

a Institute for Low Temperature Physics and Engineering, 47 Nauki ave, 61103 Kharkiv, Ukraine
b Department of Mathematical Sciences, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway
c St. Petersburg State University, St. Petersburg, Russia

Abstract: A summation procedure is described for the construction of the optimal solution in the null controllability problem for a differential equation with distributed delay.

Keywords: delay differential equation, null controllability, exponential system, summation method.

Received: 15.12.2021

Language: English


 English version:
St. Petersburg Mathematical Journal, 2023, 34:3, 393–404


© Steklov Math. Inst. of RAS, 2024