A Hybrid System Approach to Exponential Stability with Sampled-data Control for a Class of Linear Hyperbolic Systems

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