The paper studies a class of Markovian switching stochastic systems which exist impulses at the switching instants
using the fmincon function(MINC). Firstly, sufficient conditions for stability in probability of the overall system are given.
Furthermore, the stability and robust stabilizing controller are analyzed and designed, and the state feedback gain matrix and
the impulsive control gain matrix of the system are obtained. Finally, a numerical example shows the effectiveness of the
proposed approach. Through this study, it can be shown that many analysis and synthesis problems of the control systems
can be dealt with by using MINC.