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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 4, Pages 760–771
(Mi smj1742)
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This article is cited in 3 scientific papers (total in 3 papers)
Parametric control of solutions to an evolution problem in a neighborhood of an unstable stationary regime
M. B. Ivirsin Novosibirsk State University, Mechanics and Mathematics Department
Abstract:
We study a controlled system of ordinary differential equations in a neighborhood of an unstable stationary regime. We seek for a control under which the solution remains in the neighborhood however long. We find conditions under which such control is possible and prove an existence theorem. The results are of a constructive character and can be applied to controlling actual processes.
Keywords:
control theory, parametric control, unstable stationary solution.
Received: 15.11.2005
Citation:
M. B. Ivirsin, “Parametric control of solutions to an evolution problem in a neighborhood of an unstable stationary regime”, Sibirsk. Mat. Zh., 48:4 (2007), 760–771; Siberian Math. J., 48:4 (2007), 606–615
Linking options:
https://www.mathnet.ru/eng/smj1742 https://www.mathnet.ru/eng/smj/v48/i4/p760
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