On reconstructing an unknown coordinate of a nonlinear system of differential equations

• Autorzy: Blizorukowa M. , Kuklin A. , Maksimov V

Identyfikatory

DOI

http://dx.doi.org/10.7494/OpMath.2014.34.2.257

• Języki publikacji: EN

Abstrakty

EN

The paper discusses a method of auxiliary controlled models and the application of this method to solving problems of dynamical reconstruction of an unknown coordinate in a nonlinear system of differential equations. The solving algorithm, which is stable with respect to informational noises and computational errors, is presented.

Słowa kluczowe

EN

ordinary differential equations; inverse problems

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2014
• Tom: Vol. 34, no. 2
• Strony: 257--269
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Blizorukowa M.

• Ural Federal University Institute of Mathematics and Mechanics Ural Branch of Russian Academy of Sciences S.Kovalevskaya Str. 16, Ekaterinburg, 620990 Russia

autor

Kuklin A.

• Institute of Economics, Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia

autor

Maksimov V

• Ural Federal University Institute of Mathematics and Mechanics Ural Branch of Russian Academy of Sciences S.Kovalevskaya Str. 16, Ekaterinburg, 620990 Russia

Bibliografia

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• [2] A.V. Kryazhimskii, Yu.S. Osipov, On modelling of control in a dynamic system, Izv. Akad. Nauk USSR, Tech. Cybern. 2 (1983), 51–60 [in Russian].
• [3] Yu.S. Osipov, A.V. Kryazhimskii, Inverse problems of ordinary differential equations: dynamical solutions, Gordon and Breach, 1995.
• [4] V.I. Maksimov, Dynamical Inverse Problems of Distributed Systems, VSP, Boston, 2002.
• [5] Yu.S. Osipov, A.V. Kryazhimskii, V.I. Maksimov, Methods of Dynamical Reconstruction of Inputs of Controlled Systems, Ekaterinburg, 2011 [in Russian].
• [6] M. Blizorukova, V. Maksimov, L. Pandolfi, Dynamic input reconstruction for a nonlinear time-delay system, Automation and Remote Control 63 (2002) 2, 171–180.
• [7] A.V. Kryazhimskii, V.I. Maksimov, On rough inversion of a dynamical system with a disturbance, J. Inv. Ill-Posed Problems 16 (2008) 6.
• [8] K.J. Keesman, V.I. Maksimov, On feedback identification of unknown characteristics: a bioreactor case study, Int. J. Control 81 (2008) 1, 134–145.
• [9] V. Maksimov, On dynamical identification of control in a system with time delay, Archives of Control Sciences 22 (LVII) (2012) 1, 5–15.
• [10] M. Blizorukova, V. Maksimov, On some dynamical reconstruction problems for a nonlinear system of the second-order, Opuscula Math. 30 (2010) 4, 399–410.
• [11] C.S. Bertuglia, S. Lombado, P. Nijkamp, Innovation Behavior in Space and Time, Springer, Berlin, 1997.