Adaptive output feedback control for a class of switched stochastic nonlinear time-delay systems

This article investigates the adaptive output feedback control problem for a class of switched stochastic nonlinear time-delay systems with the triangular structure. To conquer the effects of unknown homogeneous growth rate and time-varying delays, two dynamic gains and a Lyapunov-Krasovskii (L-K) functional are introduced. Finally, a new homogeneous output feedback controller is designed by using a full-order observer. On the basis of the celebrated nonnegative semimartingale convergence theorem, it is proved that all signals of the closed-loop system are bounded almost surely (a.s.). Two examples are presented to verify the effectiveness of the presented strategy.