Output feedback stabilization of stochastic feedforward nonlinear time‐delay systems with unknown output function

Abstract

SummaryThis paper studies the problem of output feedback stabilization for a class of stochastic feedforward nonlinear systems with state and input delays and the unknown output function. For stochastic feedforward nonlinear systems, the maximal open sector Δ of output function is given. As long as output function belongs to any closed sector included in Δ, by constructing a reduced‐order observer and Lyapunov‐Krasovskii functional and using the homogeneous domination method, an output feedback controller can be developed to guarantee the closed‐loop system globally asymptotically stable in probability.