Output Feedback Tracking Control of High-order Stochastic Nonlinear Time-delay Systems with Markovian Switching

This paper investigates the output-feedback tracking control for a class of high-order stochastic nonlinear time-delay systems with Markovian switching. By introducing the homogeneous domination approach and choosing an appropriate Lyapunov-Krasoviskii functional, an output-feedback tracking controller is designed. It can guarantee that the closed-loop system has an unique solution, all the states of the closed-loop system are bounded in probability, and the tracking error converges to an arbitrarily small neighborhood of zero. The efficiency of the output-feedback controller is demonstrated by a simulation example.