Stability analysis and model order reduction of coupled systems

DOI10.1080/13873950701189071zbMath1137.93048OpenAlexW2036264938MaRDI QIDQ5434695

Timo Reis, Tatjana Stykel

Publication date: 7 January 2008

Published in: Mathematical and Computer Modelling of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10.1080/13873950701189071

zbMATH Keywords

stabilityerror boundsmodel reductioncoupled systemscoprime factorizationbalanced truncation

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Eigenvalue problems (93B60) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15) Stability of control systems (93D99)

Related Items (11)

An Efficient Output Error Estimation for Model Order Reduction of Parametrized Evolution Equations ⋮ On the History of Differential-Algebraic Equations ⋮ Structure-preserving reduced-order modeling of Korteweg-de Vries equation ⋮ Adaptive POD-DEIM correction for Turing pattern approximation in reaction-diffusion PDE systems ⋮ Modular model reduction of interconnected systems: a robust performance analysis perspective ⋮ Building a certified reduced basis for coupled thermo-hydro-mechanical systems with goal-oriented error estimation ⋮ Model order reduction methods for coupled systems in the time domain using Laguerre polynomials ⋮ Reduced order modelling of nonlinear cross-diffusion systems ⋮ Model order reduction based on general orthogonal polynomials in the time domain for coupled systems ⋮ Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms ⋮ Intrusive and data-driven reduced order modelling of the rotating thermal shallow water equation

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