Input-Tailored System-Theoretic Model Order Reduction for Quadratic-Bilinear Systems

DOI10.1137/18M1216699zbMath1480.93056arXiv1809.08979OpenAlexW2891540055MaRDI QIDQ5021026

Björn Liljegren-Sailer, Nicole Marheineke

Publication date: 11 January 2022

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.08979

zbMATH Keywords

model order reductionsignal generatorapproximate moment matchingquadratic-bilinear dynamical systemsunivariate frequency representations

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Frequency-response methods in control theory (93C80) System structure simplification (93B11)

Related Items

On snapshot-based model reduction under compatibility conditions for a nonlinear flow problem on networks, On Port-Hamiltonian Approximation of a Nonlinear Flow Problem on Networks

Uses Software

• MESS

Cites Work

• Differential-algebraic equations. A projector based analysis
• Moment matching based model order reduction for quadratic-bilinear systems
• Near-optimal frequency-weighted interpolatory model reduction
• Tensor Numerical Methods in Quantum Chemistry
• Krylov-Subspace Based Model Reduction of Nonlinear Circuit Models Using Bilinear and Quadratic-Linear Approximations
• Krylov Subspace Methods for Linear Systems with Tensor Product Structure
• Tensor Spaces and Numerical Tensor Calculus
• A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations
• Functional expansions for the response of nonlinear differential systems
• The existence and uniqueness of Volterra series for nonlinear systems
• $\mathcal H_2$-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems
• Interpolation-Based ${\cal H}_2$-Model Reduction of Bilinear Control Systems
• Model Reduction by Moment Matching for Linear and Nonlinear Systems
• Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1—Philosophy, Features, and Application for (Parametric) Model Order Reduction
• Interpolation-Based Model Order Reduction for Polynomial Systems
• Two-Sided Projection Methods for Nonlinear Model Order Reduction
• Error estimates for Galerkin reduced-order models of the semi-discrete wave equation
• Analysis and Design of Nonlinear Control Systems
• Approximation of Large-Scale Dynamical Systems
• Ordinary Differential Equations
• Galerkin proper orthogonal decomposition methods for parabolic problems
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