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Global stabilization of high-order time-delay nonlinear systems under a weaker condition. (English) Zbl 1406.93272

Summary: 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.

MSC:

93D15 Stabilization of systems by feedback
93D20 Asymptotic stability in control theory
93C15 Control/observation systems governed by ordinary differential equations
34D23 Global stability of solutions to ordinary differential equations
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