Receptance-Based Dominant Eigenvalues Computation of Controlled Vibrating Systems with Multiple Time-Delays Using a Contour Integral Method



Yang, , Ouyang, , Zhang, , Zhang, , Hu, and Liu,
(2019) Receptance-Based Dominant Eigenvalues Computation of Controlled Vibrating Systems with Multiple Time-Delays Using a Contour Integral Method. Applied Sciences, 9 (23). 5263 - 5263.

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Abstract

<jats:p>The computation of dominant eigenvalues of second-order linear control systems with multiple time-delays is tackled by using a contour integral method. The proposed approach depends on a reduced characteristic function and the associated characteristic matrix comprised of measured open-loop receptances. This reduced characteristic function is derived from the original characteristic function of the second-order time delayed systems based on the reasonable assumption that eigenvalues of the closed-loop system are distinct from those of the open-loop system, and has the same eigenvalues as those of the original. Then, the eigenvalues computation is equivalent to solve a nonlinear eigenvalue problem of the associated characteristic matrix by using a contour integral method. The proposed approach also utilizes the spectrum distribution features of the retarded time-delay systems. Finally, numerical examples are given to illustrate the effectiveness of the proposed approach.</jats:p>

Item Type: Article
Depositing User: Symplectic Admin
Date Deposited: 02 Jan 2020 15:22
Last Modified: 28 Jan 2022 11:48
DOI: 10.3390/app9235263
URI: https://livrepository.liverpool.ac.uk/id/eprint/3068869