The　recent　paper　[9]　studied　the　cooperative　robust　output　regulation　of　linear　multi-agent　systems　with　arbitrary　parametric　uncertainty　via　the　distributed　output　feedback　control,　where　the　network　is　assumed　to　be　fixed.　In　this　paper,　we　further　show　that　the　same　controller　is　also　efficient　for　the　more　general　uniformly　connected　switching　network.　In　contrast　to　the　traditional　quadratic　Lyapunov　function　in　literatures,　the　Lipchitz　continuous　Lyapunov　function　is　developed　here　for　the　closed-loop　system　to　guarantee　its　internal　stability.