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Mathematical and Computer Modelling of Dynamical Systems
Methods, Tools and Applications in Engineering and Related Sciences
Volume 20, 2014 - Issue 4
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Original Articles

Dimension reduction for second-order systems by general orthogonal polynomials

Zhi-Hua XiaoSchool of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an710049, Shaanxi, China
&
Yao-Lin JiangSchool of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an710049, Shaanxi, ChinaCorrespondence[email protected]
Pages 414-432 | Received 18 Jan 2013, Accepted 15 Nov 2013, Published online: 12 Dec 2013

Citations (12)

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Wei-Gang Wang & Yao-Lin Jiang. (2018) H2 optimal model order reduction on the Stiefel manifold for the MIMO discrete system by the cross Gramian. Mathematical and Computer Modelling of Dynamical Systems 24:6, pages 610-625.
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Articles from other publishers (11)

Kang-Li Xu & Yao-Lin Jiang. (2022) Riemannian optimization approach to structure-preserving model order reduction of integral-differential systems on the product of two Stiefel manifolds. Journal of the Franklin Institute 359:9, pages 4307-4330.
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Liu Dai, Zhi-Hua Xiao, Ren-Zheng Zhang & Yao-Lin Jiang. (2021) Laguerre-Gramian-based structure-preserving model order reduction for second-order form systems. Transactions of the Institute of Measurement and Control 44:5, pages 1113-1124.
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Ningning Song, Haijun Peng & Ziyun Kan. (2022) A hybrid data-driven model order reduction strategy for flexible multibody systems considering impact and friction. Mechanism and Machine Theory 169, pages 104649.
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Haijun Peng, Ningning Song & Ziyun Kan. (2021) Data-driven model order reduction with proper symplectic decomposition for flexible multibody system. Nonlinear Dynamics 107:1, pages 173-203.
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Zhi-Yong Qiu & Yao-Lin Jiang. (2020) $$\varepsilon $$-Embedding Model Reduction Method for Time-Delay Differential Algebra Systems. Circuits, Systems, and Signal Processing 39:11, pages 5390-5405.
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Bao Rong, Xiaoting Rui, Ling Tao & Guoping Wang. (2019) Theoretical modeling and numerical solution methods for flexible multibody system dynamics. Nonlinear Dynamics 98:2, pages 1519-1553.
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Zhen‐Zhong Qi, Yao‐Lin Jiang & Zhi‐Hua Xiao. (2019) Structure‐preserved MOR method for coupled systems via orthogonal polynomials and Arnoldi algorithm. IET Circuits, Devices & Systems 13:6, pages 879-887.
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Zhi‐Hua Xiao, Yao‐Lin Jiang & Zhen‐Zhong Qi. (2019) Structure preserving balanced proper orthogonal decomposition for second‐order form systems via shifted Legendre polynomials. IET Control Theory & Applications 13:8, pages 1155-1165.
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Zhi-Yong Qiu, Yao-Lin Jiang & Jia-Wei Yuan. (2018) Interpolatory Model Order Reduction Method for Second Order Systems. Asian Journal of Control 20:1, pages 312-322.
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Qiu-Yan Song, Yao-Lin Jiang & Zhi-Hua Xiao. (2017) Arnoldi-based model order reduction for linear systems with inhomogeneous initial conditions. Journal of the Franklin Institute 354:18, pages 8570-8585.
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Jia-Wei Yuan, Yao-Lin Jiang & Zhi-Hua Xiao. (2015) Structure-preserving model order reduction by general orthogonal polynomials for integral–differential systems. Journal of the Franklin Institute 352:1, pages 138-154.
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