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

• Autorzy: Kaczorek T.

Identyfikatory

DOI

10.12716/1001.09.01.10

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

• Wydawca: Faculty of Navigation, Gdynia Maritime University
• Czasopismo: TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
• Rocznik: 2015
• Tom: Vol. 9, no. 1
• Strony: 83--89
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Kaczorek T.

• Bialystok University of Technology, Bialystok, Poland

Bibliografia

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