Autor: Mozyrska, D. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

Skocz do pozycji: 2.

Tytuł:: Cone solutions of multi-order fractional difference systems
Autorzy:: Girejko, E.
Mozyrska, D.
Powiązania:: https://bibliotekanauki.pl/articles/206510.pdf
Data publikacji:: 2013
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: fractional difference operator
fractional difference equation
cone solutions
Opis:: The fractional difference system of equations with different fractional orders is considered. We obtain the existence and uniqueness results for the initial value problem. Cone solutions are presented. An example is given to illustrate the results.
Źródło:: Control and Cybernetics; 2013, 42, 2; 419-429
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Dualities for linear control differential systems with infinite matrices
Autorzy:: Mozyrska, D.
Bartosiewicz, Z.
Powiązania:: https://bibliotekanauki.pl/articles/970007.pdf
Data publikacji:: 2006
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: infinite linear differential system
row-finite infinite matrix
approximate controllability
observability
Opis:: Infinite-dimensional linear dynamic systems described by infinite matrices are studied. Approximate controllability for systems with lower-diagonal matrices is investigated, whereas observability is studied for systems with row-finite and upper-diagonal matrices. Different necessary or sufficient conditions of approximate controllability and observability of such systems are given. They are used to show dualities between these properties. The theorems on dualities extend the results known for finite-dimensional systems.
Źródło:: Control and Cybernetics; 2006, 35, 4; 887-904
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Linear q-Difference Fractional-Order Control Systems with Finite Memory
Autorzy:: Mozyrska, D.
Pawłuszewicz, E.
Powiązania:: https://bibliotekanauki.pl/articles/387319.pdf
Data publikacji:: 2011
Wydawca:: Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:: obserwowalność
możliwość kontroli
pamięć
układ sterowania
memory
control system
observability
controllability
Opis:: The formula for the solution to linear q-difference fractional-order control systems with finite memory is derived. New definitions of observability and controllability are proposed by using the concept of extended initial conditions. The rank condition for observability is established and the control law is stated.
Źródło:: Acta Mechanica et Automatica; 2011, 5, 2; 69-73
1898-4088
2300-5319
Pojawia się w:: Acta Mechanica et Automatica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: Local controllability of nonlinear discrete-time fractional order systems
Autorzy:: Mozyrska, D.
Pawłuszewicz, E.
Powiązania:: https://bibliotekanauki.pl/articles/201944.pdf
Data publikacji:: 2013
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: fractional difference operator
fractional difference initial value problem
nonlinear fractional order system
linear approximation
controllability problem
Opis:: The Riemann-Liouville, Caputo and Gr¨unwald-Letnikov fractional order difference operators are discussed and used to state and solve the controllability problem of a nonlinear fractional order discrete-time system. It is shown that independently of the type of fractional order difference, such a system is locally controllable in q steps if its linear approximation is globally controllable in q steps.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2013, 61, 1; 251-256
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 6.

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

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