We　herein　investigate　the　boundary　input-to-state　stability　(ISS)　of　a　class　of　coupled　hyperbolic　partial　differential　equation-ordinary　differential　equation　(PDE-ODE)　systems　with　respect　to　the　presence　of　uncertainties　and　external　disturbances.　The　boundary　feedback　control　of　the　proportional　type　acts　on　the　ODE　part　and　indirectly　affects　the　hyperbolic　PDE　dynamics　via　the　boundary　input.　Using　the　strict　Lyapunov　function,　some　sufficient　conditions　in　terms　of　matrix　inequalities　are　obtained　for　the　boundary　ISS　of　the　closed-loop　hyperbolic　PDE-ODE　systems.　The　feedback　control　laws　are　designed　by　combining　the　line　search　algorithm　and　polytopic　embedding　techniques.　The　effectiveness　of　the　designed　boundary　control　is　assessed　by　applying　it　to　the　system　of　interconnected　continuous　stirred　tank　reactor　and　a　plug　flow　reactor　through　a　numerical　simulation.