Partial Eigenvalue Assignment for Gyroscopic Second-Order Systems with Time Delay

Hao Liu, Ranran Li and Yingying Ding
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Hao Liu: Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Ranran Li: Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Yingying Ding: Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Mathematics, 2020, vol. 8, issue 8, 1-14

Abstract: In this paper, the partial eigenvalue assignment problem of gyroscopic second-order systems with time delay is considered. We propose a multi-step method for solving this problem in which the undesired eigenvalues are moved to desired values and the remaining eigenvalues are required to remain unchanged. Using the matrix vectorization and Hadamard product, we transform this problem into a linear systems of lower order, and analysis the computational costs of our method. Numerical results exhibit the efficiency of our method.

Keywords: inverse problem; gyroscopic second-order systems; partial eigenvalue assignment; time delay (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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