Persistent-input/persistent-output (PIPO) plants connected to persistent-input/transient-output (PITO) controllers have bounded control signals in positive feedback loops.
A biology-inspired approach to the positive integral control of positive systems: The antithetic, exponential, and logistic integral controllers.SIAM J
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On input-output persistency and the interconnection of positive nonlinear systems
Persistent-input/persistent-output (PIPO) plants connected to persistent-input/transient-output (PITO) controllers have bounded control signals in positive feedback loops.