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2023 Journal Impact Factor - 0.7
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ISSN 2083-6473
ISSN 2083-6481 (electronic version)
Editor-in-Chief
Associate Editor
Prof. Tomasz Neumann
Published by
TransNav, Faculty of Navigation
Gdynia Maritime University
3, John Paul II Avenue
81-345 Gdynia, POLAND
e-mail transnav@umg.edu.pl
Positive Descriptor Time-varying Discrete-time Linear Systems and Their Asymptotic Stability
1 Bialystok University of Technology, Białystok, Poland
ABSTRACT: 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.
KEYWORDS: Asymptotic Stability, Methods and Algorithms, Positive Linear System, Weierstrass-Kronecker Theorem, Descriptor Time-Varying Discrete-Time Linear Systems, Fractional Descriptor Time-Varying Discrete-Time Linear Systems, Positive Descriptor Time-Varying Discrete-Time Linear Systems, Positive Descriptor Discrete-Time Linear Systems
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Citation note:
Kaczorek T.: Positive Descriptor Time-varying Discrete-time Linear Systems and Their Asymptotic Stability. TransNav, the International Journal on Marine Navigation and Safety of Sea Transportation, Vol. 9, No. 1, doi:10.12716/1001.09.01.10, pp. 83-89, 2015
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