Model Reduction by Generalized Differential Balancing

DOI10.1007/978-3-319-20988-3_19zbMath1403.93057OpenAlexW2299320942MaRDI QIDQ4558882

Yu Kawano, Jacquelien M. A. Scherpen

Publication date: 30 November 2018

Published in: Mathematical Control Theory I (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-20988-3_19

zbMATH Keywords

nonlinear systemsmodel reductiondifferential controllabilitydifferential balancing methodobservability functions

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Observability (93B07) System structure simplification (93B11) Control/observation systems governed by ordinary differential equations (93C15) Stability of control systems (93D99)

Related Items (2)

Model reduction for second-order systems with inhomogeneous initial conditions ⋮ Structure-preserving generalized balanced truncation for nonlinear port-Hamiltonian systems

Cites Work

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• Dynamic generalized controllability and observability functions with applications to model reduction and sensor deployment
• Balancing for nonlinear systems
• On contraction analysis for non-linear systems
• Families of moment matching based, structure preserving approximations for linear port Hamiltonian systems
• Model Reduction for Nonlinear Systems by Incremental Balanced Truncation
• A Differential Lyapunov Framework for Contraction Analysis
• Balanced Realization and Model Order Reduction for Nonlinear Systems Based on Singular Value Analysis
• Model Reduction by Moment Matching for Linear and Nonlinear Systems
• A Lyapunov approach to incremental stability properties
• Nonlinear input-normal realizations based on the differential eigenstructure of Hankel operators
• Approximation of Large-Scale Dynamical Systems

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