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International Journal of Control Volume 89, 2016 - Issue 3
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Original Articles

The ADI iteration for Lyapunov equations implicitly performs H2 pseudo-optimal model order reduction

T. WolfDepartment of Mechanical Engineering, Institute of Automatic Control, Technische Universität München, Garching, GermanyCorrespondence[email protected]
&
H.K.F. PanzerDepartment of Mechanical Engineering, Institute of Automatic Control, Technische Universität München, Garching, Germany
Pages 481-493 | Received 28 Feb 2014, Accepted 06 Aug 2015, Published online: 04 Oct 2015

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Wei-Gang Wang & Yao-Lin Jiang. (2022) HSH-norm optimal MOR for the MIMO linear time-invariant systems on the Stiefel manifold. International Journal of Control 95:12, pages 3274-3282.
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Articles from other publishers (9)

Christian Bertram & Heike Faßbender. (2024) On a family of low-rank algorithms for large-scale algebraic Riccati equations. Linear Algebra and its Applications 687, pages 38-67.
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Peter Benner, Davide Palitta & Jens Saak. (2022) On an integrated Krylov-ADI solver for large-scale Lyapunov equations. Numerical Algorithms 92:1, pages 35-63.
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Christian Bertram & Heike Faßbender. (2021) A quadrature framework for solving Lyapunov and Sylvester equations. Linear Algebra and its Applications 622, pages 66-103.
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C. Bertram & H. Faßbender. 2021. Model Reduction of Complex Dynamical Systems. Model Reduction of Complex Dynamical Systems 119 139 .
Patrick Kürschner & Melina A. Freitag. (2020) Inexact methods for the low rank solution to large scale Lyapunov equations. BIT Numerical Mathematics 60:4, pages 1221-1259.
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Zhijun Zhang, Lunan Zheng, Jian Weng, Yijun Mao, Wei Lu & Lin Xiao. (2018) A New Varying-Parameter Recurrent Neural-Network for Online Solution of Time-Varying Sylvester Equation. IEEE Transactions on Cybernetics 48:11, pages 3135-3148.
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Salim Ibrir. (2018) A projection-based algorithm for model-order reduction with performance: A convex-optimization setting . Automatica 93, pages 510-519.
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Salim Ibrir. (2017) H<inf>2</inf>-Galerkin projection method for model order reduction of linear and nonlinear systems. H<inf>2</inf>-Galerkin projection method for model order reduction of linear and nonlinear systems.
Peter Benner, Patrick Kürschner & Jens Saak. (2016) Frequency-Limited Balanced Truncation with Low-Rank Approximations. SIAM Journal on Scientific Computing 38:1, pages A471-A499.
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