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.
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
\Bibitem{Bli11}
\by M.~S.~Blizorukova
\paper On the reconstruction of the trajectory and control in a~nonlinear second-order system
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2011
\vol 17
\issue 1
\pages 17--26
\mathnet{http://mi.mathnet.ru/timm668}
\elib{https://elibrary.ru/item.asp?id=17869779}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2011
\vol 275
\issue , suppl. 1
\pages S1--S11
\crossref{https://doi.org/10.1134/S008154381109001X}
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Linking options:
https://www.mathnet.ru/eng/timm668
https://www.mathnet.ru/eng/timm/v17/i1/p17
This publication is cited in the following 2 articles:
M. S. Blizorukova, “Dinamicheskii metod nevyazki v zadache rekonstruktsii neizvestnykh kharakteristik sistemy vtorogo poryadka”, Izv. IMI UdGU, 53 (2019), 48–60
Evgenii A. Krupennikov, Communications in Computer and Information Science, 1090, Mathematical Optimization Theory and Operations Research, 2019, 508
Citation in format AMSBIB
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