Holding Time Maximization Preserving Output Performance for Timed Event Graphs

The trade-off between energy consumption and execution time (i.e., for a given task, the faster it is achieved, the higher its energy consumption is) is investigated for systems modeled by timed event graphs. In this technical note, we aim to increase execution times (and, consequently, lower energy consumption) while preserving input-output and perturbation-output behaviors. Under this condition, the optimal solution is independent of the considered cost functions and is obtained using residuation theory.