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A generic signal-processing technique is described that enables computer-simulation studies, and practical hardware-implementation, of “real-time-determined” changes/updates in the “real-time initial-conditions” that must be “injected” into various real-time integration-operations comprising a Discrete/Continuous (D/C) Control-Algorithm. An illustrative example is presented. The “initial-condition injection” technique introduced here is also applicable-to a broad-variety of computational or simulation applications involving the real-time imposition of a sequence of strategic "jump"-changes/updates of the evolving real-time values of various state-variables xi (t) associated with a dynamical system or process. For instance, such as those encountered-in the simulation of Newtonian dynamics associated-with “abrupt” changes in mass and/or “momentum” that are natural consequences of various kinds of elastic and non-elastic impacts, collisions, and mass-separations/mergings.