Stabilization Of Uncertain Delay Systems Research Articles

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

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.

Asymptotic invariance and stabilization of uncertain delay systems

This paper is concerned with stabilization of uncertain delay systems by continuous control. The parameters are assumed to take on unknown values from specified ranges. Asymptotic invariance methods are employed for parametric design of linear high-gain algorithms and regularized VSS algorithms which provide asymptotic stability of a closed-loop control system.