In　wireless　sensor　and　actuator　networks　(WSANs),　sensing　and　control　signals　between　the　plant　and　controllers　are　typically　transmitted　through　a　wireless　ad　hoc　network.　Thus,　the　network-induced　delay　plays　an　important　role　to　the　performance　and　stability　of　WSAN,　especially　with　distributed　controllers.　In　this　paper,　the　optimal　controller　is　derived　for　a　distributed　wireless　control　network　with　full　state　information　and　long　network-induced　delays.　In　particular,　we　formulate　the　optimal　control　problem　as　a　non-cooperative　linear　quadratic　game　(LQG).　Then,　the　optimal　control　strategy　of　each　controller　is　obtained　that　is　based　on　the　current　state　and　previous　control　strategies.　The　performances　of　the　proposed　algorithm　are　investigated　by　a　generic　stable　system　and　an　unstable　linearized　inverted　pendulum　system.