Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Chinese Journal of Engineering Mathematics ›› 2025, Vol. 42 ›› Issue (5): 875-888.doi: 10.3969/j.issn.1005-3085.2025.05.006

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Balanced Truncation Model Reduction of Large-scale Second-order Systems via Laguerre Functions

XIE Lixin1,   XIAO Zhihua1,  DAI Liu2   

  1. 1. School of Information and Mathematics, Yangtze University, Jingzhou 434023
    2. School of Mathematics and Physics, Jingchu University of Technology, Jingmen 448000
  • Received:2022-12-18 Accepted:2023-06-07 Online:2025-10-15 Published:2025-12-15
  • Contact: Z. Xiao. E-mail address: zhxiao@yangtzeu.edu.cn
  • Supported by:
    The National Natural Science Foundation of China (62273059; 61803046).

Abstract:

This study considers a balanced truncation model order reduction method of large-scale second-order systems via Laguerre functions. The proposed method uses the matrix exponential functions in the space spanned by Laguerre functions to compute the low-rank decomposition. The corresponding balanced system is constructed by the singular values structure of the second-order system.  Then, the reduced second-order model is obtained by truncating the states corresponding to the small singular values. Finally, the validity of the proposed method is shown by a given numerical example.

Key words: model order reduction, second-order systems, Laguerre functions, matrix exponential function, balanced truncation

CLC Number: