This article is cited in 3 papers

The study of a singularly perturbed control system

S. P. Zubova^a, E. V. Raetskaya<sup>b

a</sup> Voronezh State University
^b Voronezh State University of Forestry and Technologies Named after G.F. Morozov

Abstract: The behavior of the control-functions and the state-functions (as the parameter tends to zero) for a linear stationary dynamical system with a small parameter at the system’s state functions derivative is studied. Complete conditions are formulated for the uniform aspiration of the control functions and the state of the initial system to the control functions and the state of the limiting system are formulated. A conditions at which the boundary layer phenomena near the edge points of the time interval appears are also formulated.

Keywords: control system, small parameter, uniform tendention, singular disturbance, the boundary layer phenomenon.

UDC: 517.9

DOI: 10.20310/1810-0198-2018-23-122-303-308

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