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Volume 9, Issue 4
Partial Eigenvalue Assignment for Undamped Gyroscopic Systems in Control

Hao Liu, Bin-Xin He & Xiao-Ping Chen

DOI: 10.4208/eajam.040718.091218

East Asian J. Appl. Math., 9 (2019), pp. 831-848.

Published online: 2019-10

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  • Abstract

The solvability of a partial eigenvalue assignment problem for undamped gyroscopic control systems is proved and its explicit solutions are found. In addition, the problem of replacing certain eigenvalues by required ones while keeping the remaining eigenpairs unchanged, is solved by a multi-step method. The method is easily implementable and does not involve receptance matrices and Sylvester equation solutions. Numerical examples show the efficiency of the method.

  • Keywords

Inverse problem, gyroscopic system, partial eigenvalue assignment, multi-step method.

  • AMS Subject Headings

65F18, 93C15

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

hliu@nuaa.edu.cn (Hao Liu)

  • BibTex
  • RIS
  • TXT
@Article{EAJAM-9-831, author = {Liu , HaoHe , Bin-Xin and Chen , Xiao-Ping}, title = {Partial Eigenvalue Assignment for Undamped Gyroscopic Systems in Control}, journal = {East Asian Journal on Applied Mathematics}, year = {2019}, volume = {9}, number = {4}, pages = {831--848}, abstract = {

The solvability of a partial eigenvalue assignment problem for undamped gyroscopic control systems is proved and its explicit solutions are found. In addition, the problem of replacing certain eigenvalues by required ones while keeping the remaining eigenpairs unchanged, is solved by a multi-step method. The method is easily implementable and does not involve receptance matrices and Sylvester equation solutions. Numerical examples show the efficiency of the method.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.040718.091218}, url = {http://global-sci.org/intro/article_detail/eajam/13335.html} }
TY - JOUR T1 - Partial Eigenvalue Assignment for Undamped Gyroscopic Systems in Control AU - Liu , Hao AU - He , Bin-Xin AU - Chen , Xiao-Ping JO - East Asian Journal on Applied Mathematics VL - 4 SP - 831 EP - 848 PY - 2019 DA - 2019/10 SN - 9 DO - http://doi.org/10.4208/eajam.040718.091218 UR - https://global-sci.org/intro/article_detail/eajam/13335.html KW - Inverse problem, gyroscopic system, partial eigenvalue assignment, multi-step method. AB -

The solvability of a partial eigenvalue assignment problem for undamped gyroscopic control systems is proved and its explicit solutions are found. In addition, the problem of replacing certain eigenvalues by required ones while keeping the remaining eigenpairs unchanged, is solved by a multi-step method. The method is easily implementable and does not involve receptance matrices and Sylvester equation solutions. Numerical examples show the efficiency of the method.

Liu , HaoHe , Bin-Xin and Chen , Xiao-Ping. (2019). Partial Eigenvalue Assignment for Undamped Gyroscopic Systems in Control. East Asian Journal on Applied Mathematics. 9 (4). 831-848. doi:10.4208/eajam.040718.091218
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