Wszystkie pola: convex linear combination - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Convex linear combination of the controllability pairs for linear systems
Autorzy:: Kaczorek, Tadeusz
Klamka, Jerzy
Powiązania:: https://bibliotekanauki.pl/articles/2183476.pdf
Data publikacji:: 2021
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: convex linear combination
controllability
linear system
Opis:: The convex linear combination of the controllability pairs of linear continuous-time linear systems is defined and its properties are discussed. The main result is obtained using pure algebraic methods. In the illustrative examples different cases of linear convex combinations are analyzed.
Źródło:: Control and Cybernetics; 2021, 50, 4; 541--551
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Controllability of linear convex combination of linear discrete-time fractional systems
Autorzy:: Kaczorek, Tadeusz
Klamka, Jerzy
Dzieliński, Andrzej
Powiązania:: https://bibliotekanauki.pl/articles/2173704.pdf
Data publikacji:: 2022
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: fractional order systems
controllability
linear convex combination
system ułamkowego rzędu
sterowność
kombinacja wypukła liniowa
Opis:: In this paper the controllability properties of the convex linear combination of fractional, linear, discrete-time systems are characterized and investigated. The notions of linear convex combination and controllability in the context of fractional-order systems are recalled. Then, the controllability property of such a linear combination of discrete-time, linear fractional systems is proven. Further, the reduction of an infinite problem of transition matrix derivation is reduced to a finite one, which greatly simplifies the numerical burden of the controllability issue. Examples of controllable and uncontrollable, single-input, linear systems are presented. The possibility of extension of the considerations to multi-input systems is shown.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2022, 70, 5; art. no. e143102
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Stability of convex linear combinations of continuous-time and discrete-time linear systems
Autorzy:: Kaczorek, Tadeusz
Powiązania:: https://bibliotekanauki.pl/articles/27324012.pdf
Data publikacji:: 2023
Wydawca:: Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:: convex linear combination
linear system
continuous-time
discrete-time
positive
system
stability
Opis:: The asymptotic stability of the convex linear combination of continuous-time and discretetime linear systems is considered. Using the Gershgorin theorem it is shown that the convex linear combination of the linear asymptotically stable continuous-time and discretetime linear systems is also asymptotically stable. It is shown that the above thesis is also valid (even simpler) for positive linear systems.
Źródło:: Archives of Control Sciences; 2023, 33, 4; 789--799
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

Artykuł

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