Discrete-time feedback control design for a class of stochastic hybrid systems with sample delay

This paper concerns the discrete-time feedback stabilization for a class of stochastic hybrid nonlinear systems. Different from the existing works, the influence of sample delay has been considered in the controller design which is based on the sample data. By introducing an auxiliary controlled system and imposing some proper suppositions on the systems, the sufficient conditions relating to the sampling interval and the sample delay have been obtained, under which the provided control scheme can guarantee the mean-square exponential stability of the considered system. In addition, it is worthy of mentioning that both the uniform cases, where the sampling interval and the sample delay are fixed, and the non-uniform case have been investigated.