This　article　deals　with　the　boundary　feedback　control　of　freeway　traffic　which　is　modelled　by　Aw-Rascle　traffic　flow　model.　By　means　of　a　Riemann　invariants　approach,　we　deduce　stabilizing　control　laws　of　a　single　freeway　segment.　The　stability　condition　is　extended　to　a　general　class　of　hyperbolic　systems　which　can　describe　freeway　networks.　The　control　laws　design　based　on　this　conclusion　are　illustrated　with　two　case　studies:　the　freeway　traffic　network　lies　in　the　free-congestion　mode　or　the　congestion-free　mode.　The　proof　of　the　main　stability　theorem　is　based　on　a　previous　result　from　Li　Ta-tsien　concerning　the　dissipative　boundary　conditions　of　hyperbolic　systems.