Output feedback stabilization of stochastic high-order nonlinear time-delay systems with unknown output function

Abstract

This article considers the problem of output feedback stabilization for a class of stochastic high-order nonlinear time-delay systems with unknown output function. For stochastic high-order nonlinear time-delay systems, based on the Lyapunov stability theorem, by combining the addition of one power integrator and homogeneous domination method, the maximal open sector $\Delta$ of output function is given. As long as output function belongs to any closed sector included in $\Delta$, an output feedback controller can be developed to guarantee the closed-loop system globally asymptotically stable in probability.