The　l2-l∞　filtering　problem　for　networked　systems　with　random　communication　delays　is　discussed.　And　the　delays　are　assumed　to　be　the　linear　functions　of　the　stochastic　variables　that　satisfy　Bernoulli　random　binary　distribution.　The　full-order　filters　are　obtained.　The　filter　error　systems　are　exponentially　mean-square　stable　and　a　prescribed　energy-to-peak　disturbance　attenuation　level　is　guaranteed　in　term　of　linear　matrix　inequalities　(LMIs).　The　filters　are　obtained　by　solving　the　LMIs　using　convex　optimization　techniques.　A　numerical　example　shows　the　validity　of　the　proposed　design　approach.