A sampled-data control loop is exponentially stable for small sampling periods, and even a single optimization iteration per sample suffices when the idealized continuous-feedback model is contractive.
Model predictive control: Theory and practice,
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Sampled-data Systems: Stability, Contractivity and Single-iteration Suboptimal MPC
A sampled-data control loop is exponentially stable for small sampling periods, and even a single optimization iteration per sample suffices when the idealized continuous-feedback model is contractive.