Digital Library of Zielona Góra contains 63 052 digital objects
Object
Title: Stabilized model reduction for nonlinear dynamical systems through a contractivity-preserving framework
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
Abstract:
This work develops a technique for constructing a reduced-order system that not only has low computational complexity, but also maintains the stability of the original nonlinear dynamical system. The proposed framework is designed to preserve the contractivity of the vector field in the original system, which can further guarantee stability preservation, as well as provide an error bound for the approximated equilibrium solution of the resulting reduced system. ; This technique employs a low-dimensional basis from proper orthogonal decomposition to optimally capture the dominant dynamics of the original system, and modifies the discrete empirical interpolation method by enforcing certain structure for the nonlinear approximation. The efficiency and accuracy of the proposed method are illustrated through numerical tests on a nonlinear reaction diffusion problem.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 30, number 4 (2020) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2020)
Last modified:
Jul 17, 2025
In our library since:
Jul 17, 2025
Number of object content hits:
24
All available object's versions:
https://zbc.uz.zgora.pl/publication/101254
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 30, number 1 (2020)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 30, number 2 (2020)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 30, number 3 (2020)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 30, number 4 (2020)
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| Edition name | Date |
|---|---|
| Stabilized model reduction for nonlinear dynamical systems through a contractivity-preserving framework | Jul 17, 2025 |
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