In　this　paper,　we　study　the　problem　of　stability　and　stabilization　of　a　sampled-data　system　under　stochastic　sampling.　A　dynamic　output　feedback　control　method　is　proposed　in　which　it　is　assumed　that　the　sampling　interval　is　disturbed　by　noisy　perturbations　obeying　a　certain　probability　density.　A　stochastic　stability　condition　is　derived　and　presented　in　terms　of　a　linear　matrix　inequality　(LMI)　using　the　Kronecker　product　operation　and　the　Vandermonde　matrix.　On　the　basis　of　the　obtained　stochastic　stability　condition,　a　new　approach　to　obtain　the　controller　gain　matrices　is　developed.　The　effectiveness　of　the　proposed　method　is　demonstrated　by　two　examples.