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Optimality of Unconstrained Pulse Inputs to the Bergman Minimal Model

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We characterize optimality of bolus insulin inputs, to the Bergman minimal model, by the predicted behavior of the plasma glucose concentration for a given disturbance. The result is derived subject… Click to show full abstract

We characterize optimality of bolus insulin inputs, to the Bergman minimal model, by the predicted behavior of the plasma glucose concentration for a given disturbance. The result is derived subject to the constraints that the plasma glucose concentration must attain but not go below a specified minimum value and the bolus input is rectangular.

Keywords: inputs bergman; optimality unconstrained; unconstrained pulse; bergman minimal; minimal model

Journal Title: IEEE Control Systems Letters
Year Published: 2018

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