Temat: system stability analysis - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Analysis of positive and stable fractional continuous-time linear systems by the use of Caputo Fabrizio derivative
Autorzy:: Kaczorek, T.
Powiązania:: https://bibliotekanauki.pl/articles/205676.pdf
Data publikacji:: 2016
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: analysis
Caputo-Fabrizio deﬁnition
fractional
linear
positivity
stability
system
Opis:: Using the Caputo-Fabrizio deﬁnition of fractional order derivative, the positivity and asymptotic stability of the fractional continuous-time linear systems are investigated. The solution to the matrix fractional diﬀerential state equations is derived. Necessary and suﬃcient conditions for the positivity and asymptotic stability of the fractional linear systems are established. Tests for checking of the asymptotic stability of the systems are provided.
Źródło:: Control and Cybernetics; 2016, 45, 3; 289-299
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Analysis and comparison of the stability of discrete-time and continuous-time linear systems
Autorzy:: Kaczorek, T.
Powiązania:: https://bibliotekanauki.pl/articles/229420.pdf
Data publikacji:: 2016
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: analysis
comparison
stability
discrete-time
continuous-time
linear system
Opis:: The asymptotic stability of discrete-time and continuous-time linear systems described by the equations x_i+1 = Ā^kx_i and x(t) = A^kx(t) for k being integers and rational numbers is addressed. Necessary and sufficient conditions for the asymptotic stability of the systems are established. It is shown that: 1) the asymptotic stability of discrete-time systems depends only on the modules of the eigenvalues of matrix Ā^k and of the continuous-time systems depends only on phases of the eigenvalues of the matrix A^k, 2) the discrete-time systems are asymptotically stable for all admissible values of the discretization step if and only if the continuous-time systems are asymptotically stable, 3) the upper bound of the discretization step depends on the eigenvalues of the matrix A.
Źródło:: Archives of Control Sciences; 2016, 26, 4; 551-563
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

Artykuł

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