Global stabilization for a class of stochastic nonlinear systems with SISS-like conditions and time delay

The global stabilization problem for a class of stochastic time-delay nonlinear systems with stochastic-input-to-state-stable-like conditions is investigated. Different from the existing results, the nonlinear growing conditions are more general, and the existences of the state and input time delays make the work more challenging in the control design and stability analysis. By introducing an appropriate gain-scaling method and using a homogeneous domain control strategy, a delay-independent controller is constructed to ensure that the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability. Examples are given to show the validness of the proposed method.