Stability of Interval Positive Fractional Discrete–Time Linear Systems-Reference-Cited by-同舟云学术

Stability of Interval Positive Fractional Discrete–Time Linear Systems

Published:2018-09-01 Issue:3 Volume:28 Page:451-456
ISSN:2083-8492
Container-title:International Journal of Applied Mathematics and Computer Science
language:en
Short-container-title:

Author:

Kaczorek Tadeusz¹

Affiliation:

1. Faculty of Electrical Engineering Białystok Technical University, Wiejska 45D, Białystok , Poland

Abstract

Abstract The aim of this work is to show that interval positive fractional discrete-time linear systems are asymptotically stable if and only if the respective lower and upper bound systems are asymptotically stable. The classical Kharitonov theorem is extended to interval positive fractional linear systems.

Publisher

Walter de Gruyter GmbH

Subject

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

Link

https://www.sciendo.com/pdf/10.2478/amcs-2018-0034

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3. Busłowicz, M. (2012). Stability analysis of continuous-time linear systems consisting of n subsystems with different fractional orders, Bulletin of the Polish Academy of Sciences: Technical Sciences 60(2): 279-284.10.2478/v10175-012-0037-2

4. Busłowicz, M. and Kaczorek, T. (2009). Simple conditions for practical stability of positive fractional discrete-time linear systems, International Journal of Applied Mathematics and Computer Science 19(2): 263-269, DOI: 10.2478/v10006-009-0022-6.10.2478/v10006-009-0022-6

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