Temat: fractional derivatives - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Explicit Finite-Difference Scheme for the Numerical Solution of the Model Equation of Nonlinear Hereditary Oscillator with Variable-Order Fractional Derivatives
Autorzy:: Parovik, R. I.
Powiązania:: https://bibliotekanauki.pl/articles/229615.pdf
Data publikacji:: 2016
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: nonlinear hereditary oscillator
finite difference scheme
Cauchy problem
fractional derivatives
numerical experiment
Opis:: The paper deals with the model of variable-order nonlinear hereditary oscillator based on a numerical finite-difference scheme. Numerical experiments have been carried out to evaluate the stability and convergence of the difference scheme. It is argued that the approximation, stability and convergence are of the first order, while the scheme is stable and converges to the exact solution
Źródło:: Archives of Control Sciences; 2016, 26, 3; 429-435
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Optimal control problems with a fixed terminal time in linear fractional-order systems
Autorzy:: Gomoyunov, M. I.
Powiązania:: https://bibliotekanauki.pl/articles/1403685.pdf
Data publikacji:: 2020
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: optimal control
fractional derivatives
linear systems
open-loop control
feedback control
reduction
Opis:: The paper deals with an optimal control problem in a dynamical system described by a linear differential equation with the Caputo fractional derivative. The goal of control is to minimize a Bolza-type cost functional, which consists of two terms: the first one evaluates the state of the system at a fixed terminal time, and the second one is an integral evaluation of the control on the whole time interval. In order to solve this problem, we propose to reduce it to some auxiliary optimal control problem in a dynamical system described by a first-order ordinary differential equation. The reduction is based on the representation formula for solutions to linear fractional differential equations and is performed by some linear transformation, which is called the informational image of a position of the original system and can be treated as a special prediction of a motion of this system at the terminal time. A connection between the original and auxiliary problems is established for both open-loop and feedback (closed-loop) controls. The results obtained in the paper are illustrated by examples.
Źródło:: Archives of Control Sciences; 2020, 30, 4; 721-744
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Numerical Solution of Fractional Neutron Point Kinetics Model in Nuclear Reactor
Autorzy:: Nowak, T. K.
Duzinkiewicz, K.
Piotrowski, R.
Powiązania:: https://bibliotekanauki.pl/articles/229399.pdf
Data publikacji:: 2014
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: fractional differential equation
fractional derivatives and integrals
system of equations
nuclear reactor
neutron point kinetics
Opis:: This paper presents results concerning solutions of the fractional neutron point kinetics model for a nuclear reactor. Proposed model consists of a bilinear system of fractional and ordinary differential equations. Three methods to solve the model are presented and compared. The first one entails application of discrete Grünwald-Letnikov definition of the fractional derivative in the model. Second involves building an analog scheme in the FOMCON Toolbox in MATLAB environment. Third is the method proposed by Edwards. The impact of selected parameters on the model’s response was examined. The results for typical input were discussed and compared.
Źródło:: Archives of Control Sciences; 2014, 24, 2; 129-154
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

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