Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
June 13, 2026Open Access

Model order reduction and approximation on general domains in the complex plane

View Full Paper
Ask AI
Bookmark
Share

Authors

ABAlessandro Borghi

Discussion

Loading...

Member takes

Overview

Novel methodologies improve approximation of systems with complex transfer functions, indicating enhanced computational efficiency.

Key Points

  • This thesis aims to develop methodologies for model-order reduction applicable to systems with transfer functions defined in complex domains.
  • Developed optimal approximation frameworks based on Hardy spaces in complex domains.
  • Constructed data-driven algorithms for computing optimal approximants and solving parametric eigenvalue problems.
  • Introduced matching strategies for handling critical eigenvalue scenarios during computations.
  • Demonstrated that generalizations to existing model reduction algorithms are numerically achievable.
  • Established two optimal approximation frameworks with unique optimality conditions for linear dynamical systems.
  • Presented numerical examples illustrating the efficiency of the proposed methods.

Cite This Study

Alessandro Borghi (2026) studied this question.

synapsesocial.com/papers/6a2cf41ffaef96ed7f056950https://doi.org/10.14279/depositonce-25970
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Data-driven optimal approximation on Hardy spaces in simply connected domains2025 · 1 citations
  2. 2\({\mathcal{H}}_{2}\)-Optimal Model Reduction of Linear Quadratic-Output Systems by Multivariate Rational Interpolation2026
  3. 3Adaptive choice of near-optimal expansion points for interpolation-based structure-preserving model reduction2024 · 3 citations
  4. 4Quality of Approximate Balanced Truncation2024 · 1 citations
  5. 5Data-driven model reduction by two-sided moment matching2024 · 8 citations