Temat: niecałkowitego rzędu - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Recursive set membership estimation for output-error fractional models with unknown-but-bounded errors
Autorzy:: Amairi, M.
Powiązania:: https://bibliotekanauki.pl/articles/331145.pdf
Data publikacji:: 2016
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: fractional calculus
set membership
estimation
unknown but bounded error
układ niecałkowitego rzędu
zbiór estymacyjny
błąd ograniczony
Opis:: This paper presents a new formulation for set-membership parameter estimation of fractional systems. In such a context, the error between the measured data and the output model is supposed to be unknown but bounded with a priori known bounds. The bounded error is specified over measurement noise, rather than over an equation error, which is mainly motivated by experimental considerations. The proposed approach is based on the optimal bounding ellipsoid algorithm for linear output-error fractional models. A numerical example is presented to show effectiveness and discuss results.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 543-553
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Modeling heat distribution with the use of a non-integer order, state space model
Autorzy:: Oprzędkiewicz, K.
Gawin, E.
Mitkowski, W.
Powiązania:: https://bibliotekanauki.pl/articles/330227.pdf
Data publikacji:: 2016
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: non-integer order system
heat transfer equation
infinite dimensional system
Feller semigroups
układ niecałkowitego rzędu
wymiana ciepła
układ nieskończenie wymiarowy
Opis:: A new, state space, non-integer order model for the heat transfer process is presented. The proposed model is based on a Feller semigroup one, the derivative with respect to time is expressed by the non-integer order Caputo operator, and the derivative with respect to length is described by the non-integer order Riesz operator. Elementary properties of the state operator are proven and a formula for the step response of the system is also given. The proposed model is applied to the modeling of temperature distribution in a one dimensional plant. Results of experiments show that the proposed model is more accurate than the analogical integer order model in the sense of the MSE cost function.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2016, 26, 4; 749-756
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: A memory-efficient noninteger-order discrete–time state–space model of a heat transfer process
Autorzy:: Oprzędkiewicz, K.
Mitkowski, W.
Powiązania:: https://bibliotekanauki.pl/articles/331055.pdf
Data publikacji:: 2018
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: noninteger order system
heat transfer equation
infinite dimensional system
continuous fraction expansion
układ niecałkowitego rzędu
wymiana ciepła
układ nieskończenie wymiarowy
Opis:: A new, state space, discrete-time, and memory-efficient model of a one-dimensional heat transfer process is proposed. The model is derived directly from a time-continuous, state-space semigroup one. Its discrete version is obtained via a continuous fraction expansion method applied to the solution of the state equation. Fundamental properties of the proposed model, such as decomposition, stability, accuracy and convergence, are also discussed. Results of experiments show that the model yields good accuracy in the sense of the mean square error, and its size is significantly smaller than that of the model employing the well-known power series expansion approximation.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2018, 28, 4; 649-659
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Fractional descriptor continuous-time linear systems described by the Caputo–Fabrizio derivative
Autorzy:: Kaczorek, T.
Borawski, K.
Powiązania:: https://bibliotekanauki.pl/articles/330274.pdf
Data publikacji:: 2016
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: fractional system
descriptor system
continuous time
linear system
Caputo–Fabrizio derivative
układ niecałkowitego rzędu
układ deskryptorowy
układ ciągły
układ liniowy
Opis:: The Weierstrass–Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor continuous-time linear systems described by the Caputo–Fabrizio derivative. A method for computing solutions of continuous-time systems is presented. Necessary and sufficient conditions for the positivity and stability of these systems are established. The discussion is illustrated with a numerical example.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 533-541
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

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