Model order reduction for discrete-time linear systems with the discrete-time polynomials

DOI10.1007/s13160-019-00384-0zbMath1425.93063OpenAlexW2971540972WikidataQ127321752 ScholiaQ127321752MaRDI QIDQ2009485

Jun-Man Yang, Yao-Lin Jiang, Kang-Li Xu

Publication date: 28 November 2019

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-019-00384-0

zbMATH Keywords

stabilitydiscrete orthogonal polynomialCharlier polynomialhybrid model order reduction

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Minimal systems representations (93B20) System structure simplification (93B11) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for differential-algebraic equations (65L80)

Related Items

Time domain model order reduction of discrete-time bilinear systems with Charlier polynomials ⋮ Parallel model order reduction methods based on structured matrix analysis for discrete-time systems with parametric uncertainty ⋮ Model reduction of discrete time-delay systems based on Charlier polynomials and high-order Krylov subspaces

Cites Work

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• Model predictive control system design and implementation using \texttt{MATLAB}
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• Model reduction of discrete-time bilinear systems by a Laguerre expansion technique
• \(H_2\) optimal model order reduction of the discrete system on the product manifold
• \(H_2\) optimal reduced models of general MIMO LTI systems via the cross Gramian on the Stiefel manifold
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Arnoldi-based model reduction for fractional order linear systems
• Time Domain Model Order Reduction of General Orthogonal Polynomials for Linear Input-Output Systems

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