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September 24, 2025Open Access

Two-sided Riemannian optimization model order reduction for linear systems with quadratic outputs

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Authors

XWXiaolong WangCLChenglong LiuTTT. Tian

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Overview

This method reveals H2-optimal model order reduction in linear systems, suggesting significant computational efficiency gains.

Key Points

  • Improves approximation accuracy and computational efficiency through model order reduction.
  • The H2-optimal model order reduction is formulated as an optimization problem on the Grassmann manifold.
  • A new approach guarantees asymptotic stability by constraining projection matrices on the Stiefel manifold.
  • An approximate solver for Sylvester equations enhances efficiency across iterative methods.

Cite This Study

Wang et al. (2025) studied this question.

synapsesocial.com/papers/68d6e1978b2b6861e4c403bchttps://doi.org/10.48550/arxiv.2508.12110
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Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Time-limited H2-optimal Model Order Reduction of Linear Systems with Quadratic Outputs2024
  2. 2$\mathcal{H}_2$ optimal model reduction of linear systems with multiple quadratic outputs2024 · 1 citations
  3. 3\({\mathcal{H}}_{2}\)-Optimal Model Reduction of Linear Quadratic-Output Systems by Multivariate Rational Interpolation2026
  4. 4Model Reduction for Discrete-Time Systems via Optimization over Grassmann Manifold2025 · 1 citations
  5. 5Nonlinear Model Order Reduction on Polynomial Manifolds for Computational Homogenisation Problems2026