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Colloquium of the Steklov Mathematical Institute of Russian Academy of Sciences
April 5, 2018 16:00, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)
 


Fast oscillating control

A. A. Agrachevab

a International School for Advanced Studies (SISSA)
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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A. A. Agrachev
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Abstract: The dimension of a system that we try to control is usually much bigger than number of controlled parameters at our disposal. On the other hand, controlled parameters are not constant, we select their values as more or less arbitrary functions of time, and a lack of resources can be compensated by a sophisticated strategy. Moreover, some efficient universal maneuvers, being rescaled and repeated with a high frequency, may serve as additional independent controlled parameters. I'll try to explain how it works in some typical situations including the motion planning under nonholonomic constraints and control of the Navier–Stokes equation by a degenerate external force.

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