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Asymptotic stability in pth moment of uncertain dynamical systems with time-delays

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  • Lu, Ziqiang
  • Zhu, Yuanguo

Abstract

Time-delay is a universal phenomenon in control systems, which usually leads to instability and poor performance of systems. In this paper, the pth moment asymptotic stability of trivial solutions to uncertain dynamical systems with time-delays is investigated. The concept of the generalized expected value is introduced with its properties based on uncertainty theory. Sufficient conditions for ensuring the stability of uncertain delay systems are derived by Lyapunov direct method. Several illustrative examples with numerical simulations are arranged to demonstrate the effectiveness of the stability results.

Suggested Citation

  • Lu, Ziqiang & Zhu, Yuanguo, 2023. "Asymptotic stability in pth moment of uncertain dynamical systems with time-delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 212(C), pages 323-335.
    • Handle: RePEc:eee:matcom:v:212:y:2023:i:c:p:323-335
    DOI: 10.1016/j.matcom.2023.05.005
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    References listed on IDEAS

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    1. Wang, Xiao & Ning, Yufu & Peng, Zhen, 2020. "Some results about uncertain differential equations with time-dependent delay," Applied Mathematics and Computation, Elsevier, vol. 366(C).
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    3. Ziqiang Lu & Yuanguo Zhu & Qinyun Lu, 2021. "Stability Analysis Of Nonlinear Uncertain Fractional Differential Equations With Caputo Derivative," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(03), pages 1-10, May.
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