Frequency-Limited Reduced Models for Linear and Bilinear Systems on the Riemannian Manifold

DOI10.1109/TAC.2020.3027643zbMath1471.93182OpenAlexW3089788132WikidataQ115264068 ScholiaQ115264068MaRDI QIDQ4957688

Kang-Li Xu, Yao-Lin Jiang

Publication date: 9 September 2021

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2020.3027643

zbMATH Keywords

iterative algorithmmodel order reductionRiemannian optimizationfinite frequencyproduct manifoldfrequency-limited controllability and observability Gramians

Mathematics Subject Classification ID

Controllability (93B05) Frequency-response methods in control theory (93C80) Observability (93B07) System structure simplification (93B11)

Related Items (5)

Riemannian optimization approach to structure-preserving model order reduction of integral-differential systems on the product of two Stiefel manifolds ⋮ Discrete orthogonal polynomials reduced models based on shift-transformation and discrete Walsh functions ⋮ Reduced-order state-space models for two-dimensional discrete systems via bivariate discrete orthogonal polynomials ⋮ Model reduction of discrete time-delay systems based on Charlier polynomials and high-order Krylov subspaces ⋮ Reduced-order modeling methods via bivariate discrete orthogonal polynomials for two-dimensional discrete state-delayed systems

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