Email this article THE STUDY OF A SINGUlARlY PERTURBED CONTROL SYSTEM
- Authors: Zubova S.P.1, Raetskaya E.V.2
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Affiliations:
- Voronezh State University
- Voronezh State University of Forestry and Technologies Named after G.F. Morozov
- Issue: Vol 23, No 122 (2018)
- Pages: 303-308
- Section: Articles
- URL: https://journal-vniispk.ru/2686-9667/article/view/297235
- DOI: https://doi.org/10.20310/1810-0198-2018-23-122-303-308
- ID: 297235
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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.
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Рассматривается полностью управляемая динамическая система с малым параметром при производной от функции состояния:×
About the authors
Svetlana Petrovna Zubova
Voronezh State University
Email: spzubova@mail.ru
Doctor of Physics and Mathematics, Professor of the Mathematical Analysis Department 1 University pl., Voronezh 394018, Russian Federation
Elena Vladimirovna Raetskaya
Voronezh State University of Forestry and Technologies Named after G.F. Morozov
Email: raetskaya@inbox.ru
Associate Professor of the Mathematics Department 8 Timiryazev Str. , Voronezh 394087, Russian Federation
References
- 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. № 7. P. 1189-1202. doi: 10.1134/S0005117917070025.
- Zubova S.P. Solution of Inverse Problems for Linear Dynamical Systems by the Cascade Method // Doklady Mathematics. 2012. Vol. 86. № 3. P. 846-849.
- Уонэм М. Линейные многомерные системы управления. Геометрический подход. М.: Наука, 1980. 375 с.
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