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 - <p style="text-align: justify;">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.</p>