Geodesic
On a problem of dynamic reconstruction under incomplete information
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 25 (2019) no. 1, pp. 207-218

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The problem of reconstructing an unknown external influence in a system of linear ordinary differential equations 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 dynamic system in which the disturbance to be reconstructed is subject to geometric constraints and is not included in the measured component.
Keywords: system of ordinary differential equations, incomplete information, controlled model.
Mots-clés : dynamic reconstruction 
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     author = {V. L. Rozenberg},
     title = {On a problem of dynamic reconstruction under incomplete information},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {207--218},
     publisher = {mathdoc},
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     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2019_25_1_a15/}
}
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V. L. Rozenberg. On a problem of dynamic reconstruction under incomplete information. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 25 (2019) no. 1, pp. 207-218. http://geodesic.mathdoc.fr/item/TIMM_2019_25_1_a15/