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Date Published: 10/10/2021
Online Published: 10/10/2021
Abstract Views: 41
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DOI: https://doi.org/10.52714/dthu.10.5.2021.891
Issue
Vol. 10 No. 5 (2021): Natural Sciences Issue (English)
Section
Natural Sciences Issue (English)
How to Cite
Le, V. N. (2021). Robust stability of switched positive linear systems. Dong Thap University Journal of Science, 10(5), 15-24. https://doi.org/10.52714/dthu.10.5.2021.891

Robust stability of switched positive linear systems

Van Ngoc Le1,
1 Department of Scientific Fundamentals, Posts and Telecommunications Institute of Technology, Vietnam

Main Article Content

Abstract

The aim of the present paper is to give robust stability based on exponentially stable switched positive linear systems. Our theoretical analysis shows that if there exists a positive stable system of all positive subsystems, then a lower bound and upper bound for stability radius of the switched system under positive affine perturbations are established. In the particular case of two dimensional switched system, including two switching signals, we obtain a formula of stability radius. Several examples are provided to illustrate our approach.

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Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Keywords

Positive linear systems, robust stability, stability radii, switched linear systems

References

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