We analyze the stability of a constrained piecewise continuous hybrid system that is controlled by a receding horizon controller across an unreliable communication channel. We assume the presence of a buffer at the actuator to store the control input sequence received from the controller to compensate for any possible packet dropouts in future transmissions. Input-to-state stability is considered under the assumption that the number of consecutive packet dropouts is bounded using tightened state constraints in the optimization problem solved by the controller. (C) 2012 Elsevier Ltd. All rights reserved.