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

Yang, , Ouyang, ORCID: 0000-0003-0312-0326, 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). p. 5263.

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Official URL: http://dx.doi.org/10.3390/app9235263

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:	15 Mar 2024 05:43
DOI:	10.3390/app9235263
Related URLs:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3068869