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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 1, Pages 17–26
(Mi timm668)
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This article is cited in 2 scientific papers (total in 2 papers)
On the reconstruction of the trajectory and control in a nonlinear second-order system
M. S. Blizorukova Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Abstract:
We consider problems of the dynamic reconstruction of unknown characteristics in a nonlinear second-order system. A dynamic variant of solving these problems is proposed. More exactly, it is assumed that the numerical solution process depends on variable (and incomplete) information on the parameters of the system. Resolving algorithms are based on the method of auxiliary models. The algorithms are stepwise; they work on finite time grids and find successive approximations to the required solution taking into account the current information on the parameters of the system.
Keywords:
dynamic reconstruction, method of auxiliary models.
Received: 09.11.2010
Citation:
M. S. Blizorukova, “On the reconstruction of the trajectory and control in a nonlinear second-order system”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 1, 2011, 17–26; Proc. Steklov Inst. Math. (Suppl.), 275, suppl. 1 (2011), S1–S11
Linking options:
https://www.mathnet.ru/eng/timm668 https://www.mathnet.ru/eng/timm/v17/i1/p17
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