Balancing Model Order Reduction Technique for Descriptor-Like Systems

DOI10.1177/107754639500100405zbMath0949.93507OpenAlexW1995989451MaRDI QIDQ4515045

Omid Ansary

Publication date: 9 November 2000

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/107754639500100405

Mathematics Subject Classification ID

Controllability (93B05) System structure simplification (93B11)

Uses Software

• Matlab

Cites Work

• A computationally attractive system model using a novel one-sided transformation
• Optimal Hankel-norm model reductions: Multivariable systems
• Linear time-variable systems: Balancing and model reduction
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Model reduction via balanced state space representations
• Approximate balanced-truncation model reduction for large scale systems†
• Stable reduced-order models using Padé-type approximations
• Singular perturbation of linear regulators: Basic theorems
• Routh approximations for reducing order of linear, time-invariant systems
• Representation of linear dynamical systems by aggregated models
• Some approximation methods for estimation and control of large scale systems
• Model reduction of multivariable control systems by means of matrix continued fractions†
• The Analysis of Weakly Coupled Dynamical Systems†