This paper concentrates on the modeling and collaborative control problem for a class of networked heterogeneous re-entrant manufacturing systems (ReMSs). The framework for the networked manufacturing system encompasses the isolated production line, the manufacturing network and the networked workshop. In light of the principle of mass conservation, the linear hyperbolic partial differential equations are first given to describe the isolated production lines, based on which the dynamics of the workshop coupled by several different production lines are then established by the semilinear hyperbolic equations. An appropriate cooperative controller is designed to facilitate inter-workshop communication and fulfill the objective of market demand tracking. Computational simulations corroborate the efficacy of the proposed networked architecture and control scheme.