<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

Stability of Interval Positive Fractional Discrete–Time Linear Systems

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Stability of Interval Positive Fractional Discrete\u2013Time Linear Systems"}

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...

Stability of Interval Positive Fractional Discrete–Time Linear Systems

Published Online: Oct 03, 2018

Page range: 451 - 456

Received: Aug 13, 2017

Accepted: Mar 04, 2018

DOI: https://doi.org/10.2478/amcs-2018-0034

Keywords
interval system, positive system, fractional system, linear discrete-time system, stability

© 2018 Tadeusz Kaczorek, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Stability of Interval Positive Fractional Discrete–Time Linear Systems

Published Online: Oct 03, 2018

Page range: 451 - 456

Received: Aug 13, 2017

Accepted: Mar 04, 2018

DOI: https://doi.org/10.2478/amcs-2018-0034

Keywordsinterval system, positive system, fractional system, linear discrete-time system, stability

© 2018 Tadeusz Kaczorek, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
interval system, positive system, fractional system, linear discrete-time system, stability