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.
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.
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© 2024 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Numerical solution of optimal control problems for linear systems of ordinary differential equations
- Nitrogen cycle module for INM RAS climate model
- Evaluation of 2010 heatwave prediction skill by SLNE coupled model
- Two-phase flow simulation algorithm for numerical estimation of relative phase permeability curves of porous materials
Artikel in diesem Heft
- Frontmatter
- Numerical solution of optimal control problems for linear systems of ordinary differential equations
- Nitrogen cycle module for INM RAS climate model
- Evaluation of 2010 heatwave prediction skill by SLNE coupled model
- Two-phase flow simulation algorithm for numerical estimation of relative phase permeability curves of porous materials