Abstract: The disclosure notably relates to a computer-implemented method for multiperiod optimization of oil and/or gas production. The method comprises providing a controlled dynamical system. The controlled dynamical system describes the evolution over time of a state of an oil and/or gas reservoir. The method further comprises providing a time-dependent admissible set of controls. The controls describe actions respecting constraints for controlling oil and/or gas flow and/or pressure. The method further comprises providing time-dependent observations of the content of the reservoir. The method further comprises optimizing, with respect to the state of the reservoir, the controls and the observations, an expected value over a given time span of an objective production function of the state, the controls and the observations. This constitutes an improved solution for oil and/or gas production.