Temat: Roesser model - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Positivity and stability of fractional 2D Lyapunov systems described by the Roesser model
Autorzy:: Rogowski, K.
Powiązania:: https://bibliotekanauki.pl/articles/202275.pdf
Data publikacji:: 2011
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: positive system
stability
fractional 2D system
Lyapunov system
Roesser model
Opis:: A new class of fractional 2D Lyapunov systems described by the Roesser models is introduced. Necessary and sufficient conditions for the positivity and asymptotic stability of the new class of systems are established. It is shown that the checking of the asymptotic stability of positive 2D fractional Lyapunov systems can be reduced to testing the asymptotic stability of corresponding positive standard 1D discretetime systems. The considerations are illustrated by a numerical example.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2011, 59, 2; 195-200
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: General Response Formula for Fractional 2D Continuous-Time Linear Systems Described by the Roesser Model
Autorzy:: Rogowski, K.
Powiązania:: https://bibliotekanauki.pl/articles/386564.pdf
Data publikacji:: 2011
Wydawca:: Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:: systemy liniowe
model Roessera
zagadnienia 2D
linear systems
Roesser model
2D problems
Opis:: A new class of fractional two-dimensional (2D) continuous-time linear systems is introduced. The general response formula for the system is derived using a 2D Laplace transform. It is shown that the classical Cayley-Hamilton theo- rem is valid for such class of systems. Usefulness of the general response formula to obtain a solution of the system is discussed and illustrated by a numerical example.
Źródło:: Acta Mechanica et Automatica; 2011, 5, 2; 112-116
1898-4088
2300-5319
Pojawia się w:: Acta Mechanica et Automatica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Positivity and stabilization of fractional 2D linear systems described by the Roesser model
Autorzy:: Kaczorek, T.
Rogowski, K.
Powiązania:: https://bibliotekanauki.pl/articles/907776.pdf
Data publikacji:: 2010
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: dodatniość
stabilizacja
system ułamkowy
model Roessera
system 2D
positivity
stabilization
fractional systems
Roesser model
2D systems
Opis:: A new class of fractional 2D linear discrete-time systems is introduced. The fractional difference definition is applied to each dimension of a 2D Roesser model. Solutions of these systems are derived using a 2D Z-transform. The classical Cayley-Hamilton theorem is extended to 2D fractional systems described by the Roesser model. Necessary and sufficient conditions for the positivity and stabilization by the state-feedback of fractional 2D linear systems are established. A procedure for the computation of a gain matrix is proposed and illustrated by a numerical example.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2010, 20, 1; 85-92
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja