In the following publication
Arce, A., Alejandro, J., Bordons, C., & Ramirez, D. R. (2010). "Real-time implementation of a constrained MPC for efficient airflow control in a PEM fuel cell." IEEE Transactions on Industrial Electronics, 57(6), 1892-1905.
There is a claim that
In fact, as the fuel cell is open-loop stable and the input signal is bounded, the closed-loop system is stable, at least in the bounded-input–bounded-output sense.
However, I doubt this claim is true for a Model Predictive Control (MPC). But, I do not have a counter example too.
Could anyone please inform if this claim is correct or any counter example exists.