Balanced Truncation for Model Order Reduction of Linear Dynamical Systems with Quadratic Outputs

DOI10.1137/17M1148797zbMath1420.65073arXiv1709.06677OpenAlexW2962706012WikidataQ127459254 ScholiaQ127459254MaRDI QIDQ5230653

Roland Pulch, Akil C. Narayan

Publication date: 28 August 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.06677

zbMATH Keywords

Lyapunov equationHankel singular valueslinear dynamical systembalanced truncationmodel order reductionquadratic-bilinear system

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (4)

Balanced Truncation Model Reduction for Lifted Nonlinear Systems ⋮ Interpolatory model reduction of quadratic-bilinear dynamical systems with quadratic-bilinear outputs ⋮ Sensitivity analysis of random linear differential-algebraic equations using system norms ⋮ Data-driven modeling of linear dynamical systems with quadratic output in the AAA framework

Uses Software

• Matlab
• LYAPACK
• MESS

Cites Work

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• Approximation of Large-Scale Dynamical Systems

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