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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Hao Liu & Ranran Li & Yingying Ding, 2020. "Partial Eigenvalue Assignment for Gyroscopic Second-Order Systems with Time Delay," Mathematics, MDPI, vol. 8(8), pages 1-14, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:8:p:1235-:d:390350
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    References listed on IDEAS

    as
    1. Liu, Hao & Yuan, Yongxin, 2016. "A multi-step method for partial quadratic pole assignment problem with time delay," Applied Mathematics and Computation, Elsevier, vol. 283(C), pages 29-35.
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    Cited by:

    1. Satyajit Chincholkar & Mohd Tariq & Shabana Urooj, 2023. "Large-Signal Stability of the Quadratic Boost Converter Using a Disturbance Observer-Based Sliding-Mode Control," Mathematics, MDPI, vol. 11(18), pages 1-14, September.

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