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

Ziqiang Lu and Yuanguo Zhu

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 212, issue C, 323-335

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.

Keywords: Uncertainty theory; Uncertain dynamical system with delay; Generalized expected value; Exponential stability; Lyapunov direct method (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:212:y:2023:i:c:p:323-335

DOI: 10.1016/j.matcom.2023.05.005

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