Positive Descriptor Time-varying Discrete-time Linear Systems and Their Asymptotic Stability

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Opis

Tytuł:: Positive Descriptor Time-varying Discrete-time Linear Systems and Their Asymptotic Stability
Autorzy:: Kaczorek, T.
Powiązania:: https://bibliotekanauki.pl/articles/117205.pdf
Data publikacji:: 2015
Wydawca:: Uniwersytet Morski w Gdyni. Wydział Nawigacyjny
Tematy:: Methods and Algorithms
Asymptotic Stability
Positive Linear System
Weierstrass-Kronecker Theorem
Descriptor Time-Varying Discrete-Time Linear Systems
Positive Descriptor Time-Varying Discrete-Time Linear Systems
Positive Descriptor Discrete-Time Linear Systems
Źródło:: TransNav : International Journal on Marine Navigation and Safety of Sea Transportation; 2015, 9, 1; 83-89
2083-6473
2083-6481
Język:: angielski
Prawa:: CC BY-NC: Creative Commons Uznanie autorstwa - Użycie niekomercyjne 3.0 PL
Dostawca treści:: Biblioteka Nauki
: Artykuł

Przejdź do źródła

The positivity and asymptotic stability of the descriptor time-varying discrete-time linear systems are addressed. The Weierstrass-Kronecker theorem on the decomposition of the regular pencil is extended to the time-varying discrete-time descriptor linear systems. Using the extension necessary and sufficient conditions for the positivity of the systems are established. Sufficient conditions for asymptotic stability of the positive systems are presented. The effectiveness of the tests is demonstrated on the example.

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