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Numerical solution of optimal control problems for linear systems of ordinary differential equations

  • Ivan G. Chechkin EMAIL logo , Kirill V. Demyanko and Yuri M. Nechepurenko
Published/Copyright: August 7, 2024

Abstract

An original numerical matrix algorithm aimed at solving the optimal control problems for linear systems of ordinary differential equations with constant coefficients is proposed. The work of the algorithm is demonstrated with the problem, which consists in generating a given small disturbance of the Poiseuille flow in an infinite duct by blowing and suction through the walls. The costs of creating the leading modes and optimal disturbances are compared, which is of independent interest.

MSC 2010: 34H05

Funding statement: The work was supported by the Russian Science Foundation (Project 22–71–10028).

Acknowledgment

The authors are grateful to the reviewer for useful comments that allowed significantly improve this paper.

References

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Received: 2024-03-23
Revised: 2024-05-07
Accepted: 2024-05-15
Published Online: 2024-08-07
Published in Print: 2024-08-27

© 2024 Walter de Gruyter GmbH, Berlin/Boston

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