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In this paper we consider a model for a cascade of hydro-electric power sta-tions where some of the stations have reversible turbines. The objective ofour work is to optimize the pro t of power production satisfying restric-tions on the water level in the reservoirs. We obtain su cient conditions ofoptimality and illustrate them with a simple example.This work has been partially supported by the European Union Seventh Framework Programme [FP7-PEOPLE-2010-ITN] under grant agreement n. 64735-SADCO and FCT project PTDC/EEA-CRO/116014/2009

Sufficient conditions of optimality for control of hydro-electric power stations