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On a Method for Solving a Local Boundary Value Problem for a Nonlinear Stationary Controlled System in the Class of Differentiable Controls

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Abstract

An algorithm, quite convenient for numerical implementation, is proposed for constructing a differentiable control function that guarantees the transfer of a wide class of nonlinear stationary systems of ordinary differential equations from the initial state to a given final state of the phase space, taking into account control constraints and external perturbations. A constructive criterion guaranteeing this transfer is obtained. The efficiency of the algorithm is illustrated by solving a specific practical problem and its numerical simulation.

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Authors and Affiliations

  1. St. Petersburg State University, 199034, St. Petersburg, Russia

    A. N. Kvitko

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  1. A. N. Kvitko
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Correspondence to A. N. Kvitko.

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Translated by E. Chernokozhin

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Kvitko, A.N. On a Method for Solving a Local Boundary Value Problem for a Nonlinear Stationary Controlled System in the Class of Differentiable Controls. Comput. Math. and Math. Phys. 61, 527–541 (2021). https://doi.org/10.1134/S0965542521040072

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