Partial Eigenvalue Assignment for Undamped Gyroscopic Systems in Control

Partial Eigenvalue Assignment for Undamped Gyroscopic Systems in Control

Year:    2019

Author:    Hao Liu, Bin-Xin He, Xiao-Ping Chen

East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 4 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.040718.091218

East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 4 : pp. 831–848

Published online:    2019-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

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

Author Details

Hao Liu

Bin-Xin He

Xiao-Ping Chen