Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
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.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 30, number 4 (2020) ; kliknij tutaj, żeby przejść
Biblioteka Uniwersytetu Zielonogórskiego
17 lip 2025
17 lip 2025
24
https://zbc.uz.zgora.pl/repozytorium/publication/101254
| Nazwa wydania | Data |
|---|---|
| Stabilized model reduction for nonlinear dynamical systems through a contractivity-preserving framework | 17 lip 2025 |
Cherniha, Roman Stachowska-Piętka, Joanna Waniewski, Jacek Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Horn, Werner Sokołowski, Jan Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Zhivkov, Petar Waniewski, Jacek Kimmel, Marek - red. Lachowicz, Mirosław - red. Świerniak, Andrzej - red.
Enszer, Joshua A. Stadtherr, Mark A. Rauh, Andreas - ed. Auer, Ekaterina - ed. Hofer,Eberhard P. - ed. Luther, Wolfram - ed.
Rauh, Andreas Brill, Michael Günther, Clemens Rauh, Andreas - ed. Auer, Ekaterina - ed. Hofer,Eberhard P. - ed. Luther, Wolfram - ed.
Atwell, Jeanne A. Borggaard, Jeffrey T. King, Belinda B. Curtain, Ruth - ed. Kaashoek, Rien - ed.
Tengs, Eric Charrassier, Flora Holst, Martin Storli, Pal-Tore Selbo Jurczak, Paweł - red.
Maksimov, Vyacheslav I. Mordukhovich, Boris S. Maksimov, Vyacheslav I. - ed. Mordukhovich, Boris - ed.