Under the weaker condition on the system growth, this paper further investigates the problem of global stabilization by state feedback for a class of high-order nonlinear systems with time-varying delays. By skillfully using the homogeneous domination approach, a continuous state feedback controller is successfully designed, which preserves the equilibrium at the origin and guarantees the global asymptotic stability of the resulting closed-loop system. A simulation example is given to demonstrate the effectiveness of the proposed design procedure.
"Global Stabilization of High-Order Time-Delay Nonlinear Systems under a Weaker Condition." Abstr. Appl. Anal. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/931520