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Ngày xuất bản: 10/10/2021
Ngày xuất bản Online: 10/10/2021
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DOI: https://doi.org/10.52714/dthu.10.5.2021.891
Số xuất bản
Tập 10 Số 5 (2021): Chuyên san Khoa học Tự nhiên (Tiếng Anh)
Chuyên mục
Khoa học Tự nhiên (Tiếng Anh)
Trích dẫn bài báo
Le, V. N. (2021). Robust stability of switched positive linear systems. Tạp chí Khoa học Đại học Đồng Tháp, 10(5), 15-24. https://doi.org/10.52714/dthu.10.5.2021.891

Robust stability of switched positive linear systems

Le Van Ngoc1,
1 Department of Scientific Fundamentals, Posts and Telecommunications Institute of Technology, Vietnam

Nội dung chính của bài viết

Tóm tắt

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

Từ khóa

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

Tài liệu tham khảo

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