In　this　paper,　the　design　of　the　optimal　decentralized　full-state-feedback　control　is　considered　for　a　wireless　sensor　and　actuator　network　with　multiple　controllers　in　the　presence　of　stochastic　network-induced　delays　and　plant　state　noise.　In　particular,　using　the　quadratic　cost　function,　the　design　problem　with　decentralized　controllers　is　formulated　as　a　non-cooperative　linear　quadratic　game.　Then,　the　optimal　control　law　of　each　controller　is　obtained　that　is　a　function　of　the　current　plant　state　and　finite　past　control　signals.　The　performance　of　the　proposed　algorithm　is　evaluated　by　a　stable　control　system　and　an　application　of　the　load　frequency　control　system　in　power　grid.