Geodesic
On a problem of dynamic disturbance reconstruction in a nonlinear system of differential equations
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 27 (2021) no. 2, pp. 197-207

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The problem of reconstructing an unknown disturbance in a system of ordinary differential equations of a special kind is investigated on the basis of the approach of the theory of dynamic inversion. A statement is considered in which the disturbance is reconstructed synchronously with the process from incomplete discrete information on a part of coordinates of the phase trajectory. A finite-step software-oriented solution algorithm based on the method of auxiliary closed-loop models is proposed, and its error is estimated. The novelty of the paper is that we consider the inverse problem for a partially observed system with a nonlinear with respect to disturbance equation describing the dynamics of the unmeasured coordinate.
Keywords: system of ordinary differential equations, nonlinearity with respect to disturbance, lack of information, controlled model.
Mots-clés : dynamic reconstruction 
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     author = {V. L. Rozenberg},
     title = {On a problem of dynamic disturbance reconstruction in a nonlinear system of differential equations},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {197--207},
     publisher = {mathdoc},
     volume = {27},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2021_27_2_a16/}
}
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V. L. Rozenberg. On a problem of dynamic disturbance reconstruction in a nonlinear system of differential equations. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 27 (2021) no. 2, pp. 197-207. http://geodesic.mathdoc.fr/item/TIMM_2021_27_2_a16/