Two-sided dimension reduction for linear control systems of \(k\)th-order form

DOI10.1016/j.ejcon.2022.100722OpenAlexW4289935815MaRDI QIDQ2681786

Jun-Man Yang, Yao-Lin Jiang

Publication date: 7 February 2023

Published in: European Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejcon.2022.100722

zbMATH Keywords

\(k\)th-order control systems\(k\)th-order Krylov subspacePetrov-Galerkin frameworkrecurrence form of momentstwo-sided dimension reduction

Mathematics Subject Classification ID

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

Uses Software

• SUGAR

Cites Work

• Krylov subspace methods for model order reduction of bilinear control systems
• Interpolatory projection methods for structure-preserving model reduction
• Second-order balanced truncation
• Order reduction of large scale second-order systems using Krylov subspace methods
• Stability Analysis of the Two-level Orthogonal Arnoldi Procedure
• Robust controller order reduction
• Balanced Truncation of Linear Second-Order Systems: A Hamiltonian Approach
• Model reduction methods based on Krylov subspaces
• Dimension Reduction of Large-Scale Second-Order Dynamical Systems via a Second-Order Arnoldi Method
• Normalized Coprime Robust Stability and Performance Guarantees for Reduced-Order Controllers
• Approximation of Large-Scale Dynamical Systems
• Model-order reduction of large-scalekth-order linear dynamical systems via akth-order Arnoldi method

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