Temat: discrete fractional calculus - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Stability conditions for fractional-order linear equations with delays
Autorzy:: Mozyrska, D.
Ostalczyk, P.
Wyrwas, M.
Powiązania:: https://bibliotekanauki.pl/articles/201130.pdf
Data publikacji:: 2018
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: fractional calculus
discrete-time models with delays
stability
rachunek różniczkowy
model dyskretny
stabilność
Opis:: The problem of stability of the Gr¨unwald-Letnikov-type linear fractional-order discrete-time systems with delays is discussed. For the stability analysis of the considered systems the Z -transform is used. The sufficient conditions for the asymptotic stability of the considered systems are presented. Using conditions related to eigenvalues of the matrices defining the linear difference systems, one can determine the regions of location of eigenvalues of matrices associated to the systems in order to guarantee the asymptotic stability of the considered systems. Some of these regions are illustrated with relevant examples.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 4; 449-454
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Behaviour of fractional discrete-time consensus models with delays for summator dynamics
Autorzy:: Girejko, E.
Mozyrska, D.
Wyrwas, M.
Powiązania:: https://bibliotekanauki.pl/articles/201408.pdf
Data publikacji:: 2018
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: fractional calculus
consensus
single-summator
double-summator
discrete-time models with delays
rachunek ułamkowy
konsensus
model dyskretny
opóźnienia
Opis:: The leader-following consensus problem of fractional-order multi-agent discrete-time systems with delays is considered. In the systems, interactions between agents are defined like in Krause and Cucker-Smale models, but the memory is included by taking both the fractional-order discrete-time operator on the left hand side of the nonlinear systems and the delays. Since in practical problems only bounded number of delays can be considered, we study the fractional order discrete-time models with a finite number of delays. The models of opinions under consideration are investigated for single- and double-summator dynamics of discrete-time by means of analytical methods as well as computer simulations.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 4; 403-410
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja