Embodiments relate to a system and method for managing energy consumption of one or more processor cores in a multicore processing device. The method includes establishing a temporal interval that includes a plurality of temporal periods and an interval energy target for one or more processor cores. The method also includes determining for each temporal period a period energy target for the processor cores and determining a processor core throttling state for the processor cores. The method further includes adjusting the respective period energy target and the respective processor core throttling state at the beginning of each successive temporal period. The method also includes converging, subject to the adjusting, as each respective temporal period of the plurality of temporal periods is concluded, a total period energy consumption of the processor cores with the interval energy target.