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2 Archives of Control Sciences

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On one algorithm for reconstruction of an disturbance in a linear system of ordinary differential equations

Blizorukova M., Maksimov V.

Archives of Control Sciences

2020

Vol. 30, No. 4

757--773

The problem of reconstructing an unknown disturbance under measuring a part of phase coordinates of a system of linear differential equations is considered. Solving algorithm is designed. The algorithm is based on the combination of ideas from the theory of dynamical inversion and the theory of guaranteed control. The algorithm consists of two blocks: the block of dynamical reconstruction of unmeasured coordinates and the block of dynamical reconstruction of an input.

On reconstructing unknown characteristics of a nonlinear system of differential equations

Kuklin A., Maksimov V., Nikulina N.

Archives of Control Sciences

2015

Vol. 25, no. 2

163--176

Problems of dynamical reconstruction of unknown characteristics for nonlinear equations described the process of diffusion of innovations through results of observations of phase states are considered. Solving algorithms, which are stable with respect to informational noises and computational errors, are designed. The algorithms are based on the principle of auxiliary models with adaptive controls.