Adaptive output-feedback control for switched stochastic time-delay nonlinear systems with uncertain output function

Global adaptive control problem is addressed for switched stochastic time-delay nonlinear systems with uncertain output function and unknown nonlinear growth rates. By adding a power integrator technique, a delay-independent adaptive output-feedback controller is designed. According to Lyapunov-Krasovskii stability theorem, it is shown that all the states of switched stochastic time-delay nonlinear system asymptotically converge to zero almost surely while maintaining boundedness of the closed-loop system in probability. An example is provided to illustrate the validity of the proposed control method.