To the Theory of an Optimally Controlled Boundary Layer on Permeable Surfaces at Various Flow Modes

Abstract

The paper presents a review of studies on the optimal control of the boundary layer on permeable surfaces under various flow modes. The main attention is paid to the studies carried out in 1964–2019 at Kazan National Research Technical University–KAI at the departments of Aerohydrodynamics, Flight and Control Dynamics, and Special Mathematics. The essential role of the first integrals for conjugate systems obtained using the theory of the Noether–Ibragimov invariant variational problems and the Lie–Ovsyannikov infinitesimal apparatus was noted in a number of papers.