Every trajectory in these antithetic feedback systems is bounded because persistent growth in the regulated state eventually triggers a strong enough delayed feedback response to force the state down and keep it controlled.
Structural stability propert ies of antithetic integral (rein) control with output inhib i- tion
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Boundedness of solutions in feedback systems with antithetic controllers
Every trajectory in these antithetic feedback systems is bounded because persistent growth in the regulated state eventually triggers a strong enough delayed feedback response to force the state down and keep it controlled.