Asymptotic stability in [formula omitted]th moment of uncertain dynamical systems with time-delays

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.