Positivity of Fractional Descriptor Linear Discrete–Time Systems

Author:

Kaczorek Tadeusz1

Affiliation:

1. Faculty of Electrical Engineering , Białystok University of Technology , Wiejska 45D, 15-351 Białystok , Poland

Abstract

Abstract The positivity of fractional descriptor linear discrete-time systems is investigated. The solution to the state equation of the systems is derived. Necessary and sufficient conditions for the positivity of fractional descriptor linear discrete-time systems are established. The discussion is illustrated with numerical examples.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Applications of the fractional Sturm–Liouville difference problem to the fractional diffusion difference equation;International Journal of Applied Mathematics and Computer Science;2023

2. Distinguishability of the descriptor systems with regular pencil;Linear Algebra and its Applications;2022-11

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