In this paper, we address the problem of exponential stability for a class of linear hyperbolic
systems with distributed sampled-data control. First, we recast the original system into a
hybrid model via an augmented system approach. Using this model, the link between the
sampling interval, the system state and its sampled vector is characterized by an Integral
Quadratic Constraint (IQC). The obtained IQC is used for deriving numerically tractable
stability criteria. The method is illustrated by an open loop unstable numerical example.