This article is cited in 1 paper

Optimal control of cylinder rotation in a viscous fluid

V. N. Starovoitov<sup>ab

a</sup> Lavrentiev Institute of Hydrodynamics of the SDRAS, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

Abstract: The paper deals with the axisymmetric problem of optimal boundary control of a mechanical system consisting of two coaxial cylinders and an incompressible viscous fluid filling the area between them. The control parameter is the angular velocity of the outer cylinder. It is required to stop the inner cylinder at a prescribed time with minimal energy cost. The unique solvability of the problem is proved and the optimality system is derived.

Keywords: viscous fluid, rigid body, optimal control.

UDC: 517.977+532.582

Received: 27.12.2012

 English version: Journal of Applied and Industrial Mathematics, 2013, 7:2, 259–268

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