Computation of nonlinear balanced realization and model reduction based on Taylor series expansion

DOI10.1016/J.SYSCONLE.2007.08.015zbMath1134.93012OpenAlexW2015001891MaRDI QIDQ2481485

Daisuke Tsubakino, Kenji Fujimoto

Publication date: 10 April 2008

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2007.08.015

zbMATH Keywords

nonlinear systemscomputationmodel order reduction

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Transformations (93B17)

Related Items (10)

Kernel methods for the approximation of some key quantities of nonlinear systems ⋮ Empirical differential Gramians for nonlinear model reduction ⋮ Data-driven model reduction by moment matching for linear and nonlinear systems ⋮ Kernel Methods for the Approximation of Nonlinear Systems ⋮ Model Reduction for Nonlinear Systems by Balanced Truncation of State and Gradient Covariance ⋮ Model order reduction of random parameter-dependent linear systems ⋮ Structure-preserving generalized balanced truncation for nonlinear port-Hamiltonian systems ⋮ Model reduction of a class of discrete-time nonlinear systems ⋮ Interconnection-based model order reduction -- a survey ⋮ A projection-based algorithm for model-order reduction with \(H_2\) performance: a convex-optimization setting

Cites Work

• Balancing for nonlinear systems
• Minimality and local state decompositions of a nonlinear state space realization using energy functions
• Eigenstructure of nonlinear hankel operators
• Nonlinear input-normal realizations based on the differential eigenstructure of Hankel operators
• Optimal Regulation of Nonlinear Dynamical Systems

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