Model reduction of descriptor systems using frequency limited Gramians

DOI10.1016/j.jfranklin.2014.10.013zbMath1307.93091OpenAlexW2070727619MaRDI QIDQ2263651

Yanyan Li

Publication date: 19 March 2015

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2014.10.013

zbMATH Keywords

model reductionlower order modelslarge complex systemstruncated balanced realization

Mathematics Subject Classification ID

Related Items (9)

Model Reduction of Large Scale Descriptor Systems Using Time Limited Gramians ⋮ Partial fraction expansion based frequency weighted model reduction for discrete-time systems ⋮ A new model reduction method for the linear dynamic systems and its application for the design of compensator ⋮ Frequency Interval Cross Gramians for Linear and Bilinear Systems ⋮ Frequency-Limited Balanced Truncation with Low-Rank Approximations ⋮ Frequency- and time-limited balanced truncation for large-scale second-order systems ⋮ Frequency limited Gramians-based structure preserving model order reduction for discrete time second-order systems ⋮ Systematically derived weights based order diminution of continuous systems using GWO algorithm ⋮ MORLAB—The Model Order Reduction LABoratory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Model reduction of bilinear systems based on Laguerre series expansion
• Observer based \((Q,V,R)\)-\(\alpha\)-dissipative control for TS fuzzy descriptor systems with time delay
• \(\alpha\)-dissipativity analysis of singular time-delay systems
• \(H_2\) and \(H_\infty\) optimal model reduction using genetic algorithms
• Gramian-based model reduction for descriptor systems
• Low-rank iterative methods for projected generalized Lyapunov equations
• CAD-based electric-circuit modeling in industry. I: Mathematical structure and index of network equations
• On the solution of higher order linear homogeneous complex \(\sigma-\alpha\) descriptor matrix differential systems of Apostol-Kolodner type
• Frequency weighted model order reduction technique and error bounds for discrete time systems
• Principle of frequency-domain balanced structure in linear systems and model reduction
• Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems
• Model-order reduction of coupled DAE systems via \(\varepsilon\) technique and Krylov subspace method
• Observer-based fault tolerant control design for a class of LPV descriptor systems
• Model order reduction based on general orthogonal polynomials in the time domain for coupled systems
• Robust normalization and guaranteed cost control for a class of uncertain descriptor systems
• Model reduction for a class of nonstationary Markov jump linear systems
• \(H_\infty \) model reduction for uncertain switched linear discrete-time systems
• Model Reduction of Descriptor Systems by Interpolatory Projection Methods
• Model reduction in limited time and frequency intervals
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Singular perturbation approximation of balanced systems
• Model reduction methods based on Krylov subspaces
• A Survey of Model Reduction by Balanced Truncation and Some New Results
• Partial-Fraction Expansion Based Frequency Weighted Model Reduction Technique With Error Bounds
• H _∞ model reduction for discrete-time Markov jump linear systems with partially known transition probabilities
• Is Gauss Quadrature Better than Clenshaw–Curtis?
• A partial Padé-via-Lanczos method for reduced-order modeling

This page was built for publication: Model reduction of descriptor systems using frequency limited Gramians