Global sampled-data output feedback stabilization for a class of stochastic nonlinear systems with time-varying delay.

Highlights • Compared with the existing results in Chu et al. (2015), Meng et al. (2018), the system considered in this paper is more general. Firstly, the time delay investigated in this paper is time-varying. Secondly, different from deterministic systems, this paper considers a class of stochastic systems. • By using the backstepping design technique, an observer-based linear controller is constructed. In stability analysis, based on an appropriate Lyapunov-Krasoviskii functional, an allowable sampling period T is derived to guarantee that the considered stochastic system is globally asymptotically stable in the mean square sense. • The proposed sampled-data controller is linear and independent of the time delay, which is more suitable for practical applications. Abstract This paper studies the global sampled-data output feedback stabilization problem for a class of stochastic nonlinear systems. The considered system is in non-strict feedback form with unknown time-varying delay. A state observer is introduced to estimate the unmeasured states. With the help of the backstepping method, a linear sampled-data output feedback controller is constructed. By choosing an appropriate Lyapunov–Krasoviskii functional and an allowable sampling period, it is shown that the stochastic system can be globally asymptotically stabilized in the mean square sense under the developed control scheme. Finally, two examples are presented to verify the effectiveness of the designed control scheme. [ABSTRACT FROM AUTHOR]