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The study of a singularly perturbed control system

Annotation

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

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DOI

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

UDC

517.9

Pages

303-308

References

1. Zubova S.P., Raetskaya E.V. Algorithm to solve linear multipoint problems of control by the method of cascade decomposition. Automation and Remote Control, 2017, vol. 78, no. 7, pp. 1189-1202. DOI: 10.1134/S0005117917070025. 2. Zubova S.P. Solution of Inverse Problems for Linear Dynamical Systems by the Cascade Method. Doklady Mathematics, 2012, vol. 86, no. 3, pp. 846-849. 3. Uonem M. Lineynye mnogomernye sistemy upravleniya. Geometricheskiy podkhod [Linear Multidimensional Control Systems. Geometric Approach]. Moscow, Nauka Publ., 1980, 375 p. (In Russian).

Received

2018-03-28

Section of issue

Scientific articles

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