Under　the　influence　of　nonlinearity,　time-varying　delay,　and　uncertainty,　the　consensus　problem　is　concerned　in　this　study　for　multiagent　systems　modeled　by　partial　differential　equations,　which　means　that　both　the　time　and　space　variables　are　included　in　the　dynamic　behavior　of　each　agent.　First,　with　a　directed　graph,　an　adaptive　boundary　controller　is　developed　under　boundary　measurements,　which　can　effectively　reduce　the　control　cost　with　dynamic　control　gains　and　a　few　actuators　and　sensors　installed　at　the　boundary　of　the　spatial　domain.　Then,　through　the　designed　adaptive　boundary　controller,　the　linear　matrix　inequality　(LMI)-based　consensus　conditions　are　obtained　to　ensure　the　exponential　stability　of　the　consensus　error　systems　derived　by　utilizing　the　inequality　techniques　and　Lyapunov　direct　approach.　Lastly,　two　numerical　examples　demonstrate　the　effectiveness　of　the　presented　adaptive　boundary　control　protocols.　©　2013　IEEE.