Stability and stabilization of stochastic hybrid systems with nonlinear disturbances

In this paper, we have dealt with the problem for a class of stochastic hybrid systems. Both the mean-square exponential stability and the stabilization problems are treated. A state feedback controller is proposed to stabilize the class of hybrid systems. The conditions we developed are LMI form which is easy to calculate by Matlab tools. Numerical examples are given to show the usefulness of the developed results.