In　this　paper,　the　robust　H-infinity　control　problem　is　considered　for　a　class　of　networked　systems　with　random　communication　packet　losses.　Because　of　the　limited　bandwidth　of　the　channels,　such　random　packet　losses　could　occur,　simultaneously,　in　the　communication　channels　from　the　sensor　to　the　controller　and　from　the　controller　to　the　actuator.　The　random　packet　loss　is　assumed　to　obey　the　Bernoulli　random　binary　distribution,　and　the　parameter　uncertainties　are　norm-bounded　and　enter　into　both　the　system　and　output　matrices.　In　the　presence　of　random　packet　losses,　an　observer-based　feedback　controller　is　designed　to　robustly　exponentially　stabilize　the　networked　system　in　the　sense　of　mean　square　and　also　achieve　the　prescribed　H-infinity　disturbance-rejection-attenuation　level.　Both　the　stability-analysis　and　controller-synthesis　problems　are　thoroughly　investigated.　It　is　shown　that　the　controller-design　problem　under　consideration　is　solvable　if　certain　linear　matrix　inequalities　(LMIs)　are　feasible.　A　simulation　example　is　exploited　to　demonstrate　the　effectiveness　of　the　proposed　LMI　approach.