Water-minimizing strategies under viability constraint for a crop fertirrigation model
Abstract
We propose a simplified model of fertirrigation for which the control variable is the irrigation flow rate. We first characterize conditions fo which the system is viable in the sense that it allows the maximal production of biomass. Then, we consider the problem of minimizing the quantity of water delivered during a season under the viability constraint. We demonstrate that depending on the initial nitrogen content in soil, the optimal strategies can be radically different. Moreover, we show the possibility of having an infinity of optimal singular trajectories.
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