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28 results on '"Kvitko, Alexander"'

2. Solving Boundary Value Problem for a Nonlinear Stationary Controllable System with Synthesizing Control

Author

Kvitko, Alexander N., Firyulina, Oksana S., and Eremin, Alexey S.

Subjects
Mathematics - Optimization and Control, 93C10, 93C15
Abstract

An algorithm for constructing a control function that transfers a wide class of stationary nonlinear systems of ordinary differential equations from an initial state to a final state under certain control restrictions is proposed. The algorithm is designed to be convenient for numerical implementation. A constructive criterion of the desired transfer possibility is presented. The problem of an interorbital flight is considered as a test example and it is simulated numerically with the presented method., Comment: 9 pages, 2 figures

Published
2017

5. On a method for solving a local boundary problem for a nonlinear non stationary system with perturbations in the class of piecewise constant controls.

Author

Kvitko, Alexander

Subjects
*NONLINEAR equations, *ORDINARY differential equations
Abstract

The wide class of controlled nonlinear non stationary systems of ordinary differential equations taking into account external perturbation is considered. An algorithm for constructing a discrete control function that guarantees the transfer of the systems from the initial state to the origin is proposed. A constructive sufficient condition, in which the specified translation is possible is obtained. [ABSTRACT FROM AUTHOR]

Published
2023
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7. Ukraine Aflame

Author

Kvitko, Alexander

Subjects
History
Abstract

The stunning photograph in the Poetry department of your Summer 2022 issue ('Still Inspiring Freedom,' page 87) showing the battle-scared bust in Borodianka, Ukraine of the country's national poet Taras [...]

Published
2022

18. On one boundary problem for nonlinear stationary controlled system.

Author

Kvitko, Alexander and Yakusheva, Daria

Subjects
*NONLINEAR equations, *ORDINARY differential equations, *CAUCHY problem, *LINEAR systems, *TRANSFER functions
Abstract

The object of study is nonlinear stationary controlled system of ordinary differential equations with constant disturbance in the right part. The problem of constructing the synthesising control function providing the transfer of this system from the initial state to the origin is considered. The sufficiently simple for numerical implementation algorithm of solution of the above-mentioned problem is obtained. It is shown that for local null controllability of the considered system, it is sufficient that the conditions of the Kalman's type were satisfied. In addition, the estimates restricting the choice of initial conditions and external disturbances under which the transfer is guaranteed are obtained. The main idea of the method of construction of the desired control function consists in reducing the original problem to stabilisation of a special kind linear non-stationary system and solving the Cauchy problem for an auxiliary system of ordinary differential equations closed by stabilising control. The simplicity of the realisation of this algorithm is determined by the construction of the auxiliary system and its stabilisation that could be obtained by analytical methods. The effectiveness of the method is illustrated by solving the problem of crane control and its numerical simulation. [ABSTRACT FROM AUTHOR]

Published
2019
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21. About Local Controllability of a Nonlinear Stationary System.

Author

Kvitko, Alexander

Subjects
*ORDINARY differential equations, *COMPUTER simulation, *BOUNDARY value problems, *DIFFERENTIAL equations, *ALGORITHMS
Abstract

The paper presents an algorithm for constructing of synthesizing control function. This algorithm is sufficiently convenient for numerical implementation and a wide class of nonlinear stationary systems of ordinary differential equations, provide the passage from initial state into to origin coordinates. We obtain a constructive condition for the choice of initial state for which the passage is possible with regard of the constraints imposed on the control. We consider an interorbital flight problem, for which we carry numerical simulation. [ABSTRACT FROM AUTHOR]

Published
2017
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25. A Method for Solving a Local Boundary Problem for Nonlinear Controlled System.

Author

Kvitko, Alexander

Subjects
*BOUNDARY value problems, *NONLINEAR systems, *ALGORITHMS, *MATHEMATICAL functions, *DIFFERENTIAL equations, *NUMERICAL analysis
Abstract

An algorithm is proposed for constructing a control function that transfer wide class of nonlinear systems of ordinary differential equations from an initial state to an fixed state. The algorithm is convenient for numerical implementation. A constructive condition is obtained for which this transfer is possible. [ABSTRACT FROM AUTHOR]

Published
2015
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