Temat: fractional 2D system

Skocz do pozycji: 1.

Tytuł:: Positivity and stability of fractional 2D Lyapunov systems described by the Roesser model
Autorzy:: Rogowski, K.
Tematy:: positive system
stability
fractional 2D system
Lyapunov system
Roesser model; Pokaż więcej
Data publikacji:: 2011
Powiązania:: https://bibliotekanauki.pl/articles/202275.pdf Link otwiera się w nowym oknie
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
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.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Stability margins for generalized fractional two-dimensional state space models
Autorzy:: Salmi, Souad
Bouagada, Djillali
Tematy:: fractional 2D system
stability radius
stability region
linear matrix inequalities; Pokaż więcej
Data publikacji:: 2024
Powiązania:: https://bibliotekanauki.pl/articles/59111226.pdf Link otwiera się w nowym oknie
Źródło:: Archives of Control Sciences; 2024, 34, 1; 23-37
1230-2384
Pojawia się w:: Archives of Control Sciences
Opis:: In this paper, a new class of bidimensional fractional linear systems is considered. The stability radius of the disturbed system is described according to the H∞ norm. Sufficient conditions to ensure the stability margins of the closed-loop system are offered in terms of linear matrix inequalities. The concept of D stability region for these systems is also considered. Examples are provided to verify the applicability of our main result.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Fractional 2D linear systems
Autorzy:: Kaczorek, T.
Tematy:: linear
2D
fractional
system
fractional difference
reachabillity
controllability to zero; Pokaż więcej
Data publikacji:: 2008
Powiązania:: https://bibliotekanauki.pl/articles/384306.pdf Link otwiera się w nowym oknie
Źródło:: Journal of Automation Mobile Robotics and Intelligent Systems; 2008, 2, 2; 5-9
1897-8649
2080-2145
Pojawia się w:: Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Positivity and stabilization of fractional 2D linear systems described by the Roesser model
Autorzy:: Kaczorek, T.
Rogowski, K.
Tematy:: dodatniość
stabilizacja
system ułamkowy
model Roessera
system 2D
positivity
stabilization
fractional systems
Roesser model
2D systems; Pokaż więcej
Data publikacji:: 2010
Powiązania:: https://bibliotekanauki.pl/articles/907776.pdf Link otwiera się w nowym oknie
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
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.
Dostawca treści:: Biblioteka Nauki

Artykuł

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