Krylov subspace approximation for quadratic-bilinear differential system

DOI10.1080/00207721.2018.1480814zbMath1482.93105OpenAlexW2806357861MaRDI QIDQ5027803

Jun-Man Yang, Yao-Lin Jiang

Publication date: 7 February 2022

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207721.2018.1480814

zbMATH Keywords

transfer functionKrylov subspace methoddynamic behaviourquadratic-bilinear differential algebraic equations

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Implicit ordinary differential equations, differential-algebraic equations (34A09) System structure simplification (93B11) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (3)

Implicit higher-order moment matching technique for model reduction of quadratic-bilinear systems ⋮ Time domain and frequency domain model order reduction for discrete time-delay systems ⋮ Parametric model order reduction based on parallel tensor compression

Uses Software

• PMTBR

Cites Work

• Unnamed Item
• Nonlinear model order reduction based on tensor Kronecker product expansion with Arnoldi process
• Model order reduction for linear and nonlinear systems: a system-theoretic perspective
• Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition
• Fracture limit prediction using ductile fracture criteria for forming of an automotive aluminum sheet
• On Reduced Models for the Chemical Master Equation
• Optimal model reduction of discrete-time descriptor systems
• Dimensional Reduction of the Fokker–Planck Equation for Stochastic Chemical Reactions
• A note on stability in model reduction
• Modeling and Simulating Chemical Reactions
• Model reduction of delay systems using Pade approximants
• Two-Sided Projection Methods for Nonlinear Model Order Reduction
• Model-order reduction ofkth order MIMO dynamical systems using blockkth order Krylov subspaces
• Proper orthogonal decomposition for optimality systems
• Approximation of Large-Scale Dynamical Systems
• Model-order reduction of large-scalekth-order linear dynamical systems via akth-order Arnoldi method

This page was built for publication: Krylov subspace approximation for quadratic-bilinear differential system