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A note on approximating the nearest stable discrete-time descriptor systems with fixed rank

  • Published:2020-02 Issue: Volume:148 Page:131-139
  • ISSN:0168-9274
  • Container-title:Applied Numerical Mathematics
  • language:en
  • Short-container-title:Applied Numerical Mathematics

Author:

Gillis Nicolas,Karow Michael,Sharma Punit

Funder

European Research Council

Fonds de la Recherche Scientifique - FNRS

Government of India

IIT Delhi

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference20 articles.

1. Perturbation theory for Hamiltonian matrices and the distance to bounded-realness;Alam;SIAM J. Matrix Anal. Appl.,2011

2. A bisection method for measuring the distance of a stable to unstable matrices;Byers;SIAM J. Sci. Stat. Comput.,1988

3. On the stability radius of a generalized state-space system;Byers;Linear Algebra Appl.,1993

4. Singular Control Systems;Dai,1989

5. Robust stability of differential-algebraic equations;Du,2013

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1. Stable Linear Subspace Identification: A Machine Learning Approach;2024 European Control Conference (ECC);2024-06-25

2. Learning Stable Models for Prediction and Control;IEEE Transactions on Robotics;2023-06

3. System norm regularization methods for Koopman operator approximation;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2022-09

4. Learning Stable Koopman Embeddings;2022 American Control Conference (ACC);2022-06-08

5. Nearest $$\varOmega $$-stable matrix via Riemannian optimization;Numerische Mathematik;2021-08
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