Further results on adaptive state feedback stabilization for a class of stochastic feedforward nonlinear systems with time delays

Abstract

This paper further discusses the state feedback stabilization for stochastic high-order feedforward nonlinear systems with input time delay. By constructing the appropriate Lyapunov–Krasovskii functional, and using the variable transformation technique and the homogeneous domination idea, a state feedback controller is designed to ensure that the closed-loop system will be globally asymptotically stable in probability. Finally, an example is given to verify the effectiveness of the obtained analytical results.

Keywords

Stochastic feedforward systems Lyapunov–Krasovskii functional input time delay backstepping

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