In the field of programmable integrated circuits designed for applications of high-powered computation, a compact system of low complexity is proposed to implement a static schedule scheme for real-time resource management, capable of taking account of the completion of a task. This system, used for the management of a multiple-resource architecture in which several resources can simultaneously execute different tasks, comprises: at least one management means (G.sub.i.sup.j) for the execution of a part (j, 0.ltoreq.j) of a set or subset (i, 0.ltoreq.i) of one or more tasks; at least one means of control (C.sub.i) of the means or plurality of means of management (G.sub.i.sup.j) of the execution of said set or subset of task(s); at least one means of verifying the completion of one or more given tasks, each completion verification means being associated with all or part of the management means (G.sub.i.sup.j) and/or all or part of the control means (C.sub.i) and/or all or part of the resources; and/or an initialization means used to initialize all or part of the preceding means.