Global Stability of Discrete–Time Feedback Nonlinear Systems with Descriptor Positive Linear Parts and Interval State Matrices

Tadeusz Kaczorek; Andrzej Ruszewski

doi:10.34768/amcs-2022-0001

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Global Stability of Discrete–Time Feedback Nonlinear Systems with Descriptor Positive Linear Parts and Interval State Matrices

International Journal of Applied Mathematics and Computer Science

Volume 32 (2022): Issue 1 (March 2022)

By: Tadeusz Kaczorek and Andrzej Ruszewski

Open Access

|Mar 2022

Abstract

The global stability of discrete-time nonlinear systems with descriptor positive linear parts, positive scalar feedbacks and interval state matrices is addressed. Sufficient conditions for the global stability of this class of nonlinear systems are established. The effectiveness of these conditions is illustrated using numerical examples.

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Articles in this issue

DOI: https://doi.org/10.34768/amcs-2022-0001 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 5 - 10

Submitted on: Apr 21, 2021

Accepted on: Dec 5, 2021

Published on: Mar 31, 2022

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

global stability,

positive systems,

nonlinear systems,

discrete-time systems,

feedback

Related subjects:

Mathematics,

Applied mathematics

© 2022 Tadeusz Kaczorek, Andrzej Ruszewski, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 32 (2022): Issue 1 (March 2022)