Model reduction for second-order systems with inhomogeneous initial conditions

DOI10.1016/j.sysconle.2023.105671arXiv2206.06896MaRDI QIDQ6131461

Peter Benner, Jennifer Przybilla, Igor Pontes Duff

Publication date: 5 April 2024

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

Full work available at URL: https://arxiv.org/abs/2206.06896

zbMATH Keywords

second-order systemsbalanced truncationmodel order reductioninhomogeneous systems

Mathematics Subject Classification ID

Linear systems in control theory (93C05) System structure simplification (93B11)

Cites Work

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• Model order reduction for linear and nonlinear systems: a system-theoretic perspective
• Convergence of the iterative rational Krylov algorithm
• Model reduction for systems with inhomogeneous initial conditions
• Balanced truncation model reduction for systems with inhomogeneous initial conditions
• A framework for the solution of the generalized realization problem
• Interpolatory projection methods for structure-preserving model reduction
• Data-driven structured realization
• Algorithms for model reduction of large dynamical systems
• Second-order balanced truncation
• Order reduction of large scale second-order systems using Krylov subspace methods
• Passivity preserving model reduction via interpolation of spectral zeros
• Model Reduction of Descriptor Systems by Interpolatory Projection Methods
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Truncated balanced realization of a stable non-minimal state-space system
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Model Reduction by Generalized Differential Balancing
• Model Reduction and Approximation
• Data-Driven Identification of Rayleigh-Damped Second-Order Systems
• Model order reduction for bilinear control systems with inhomogeneous initial conditions
• Balanced truncation model reduction of second-order systems
• Model order reduction for bilinear systems with non-zero initial states – different approaches with error bounds

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