Balanced model reduction of linear systems with nonzero initial conditions: singular perturbation approximation

DOI10.1016/j.amc.2019.02.001zbMath1428.93026OpenAlexW2915816288WikidataQ128385141 ScholiaQ128385141MaRDI QIDQ2010750

Carsten Hartmann, Adnan Daraghmeh, Naji A. Qatanani

Publication date: 27 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.02.001

zbMATH Keywords

error boundbalanced truncationsingular perturbation approximation\(L^2\) normhomogeneous and non-homogeneous initial conditions

Mathematics Subject Classification ID

Linear systems in control theory (93C05) System structure simplification (93B11) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

Error bounds for model reduction of feedback-controlled linear stochastic dynamics on Hilbert spaces ⋮ Model order reduction for bilinear systems with non-zero initial states – different approaches with error bounds ⋮ Model order reduction of positive real systems based on mixed Gramian balanced truncation with error bounds ⋮ Unnamed Item ⋮ Balanced truncation model reduction with a priori error bounds for LTI systems with nonzero initial value ⋮ Model order reduction of port-Hamiltonian systems with inhomogeneous initial conditions via approximate finite-time Gramians

Uses Software

• benchmodred

Cites Work

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