Abstract
A new method is developed that allows one to determine the performance of a nonlinear system undergoing impulse-forcing analytically. The method is based on the Carleman linearization procedure, which approximates a non-linear system of equations and a non-linear performance-measure by a linear system of higher order. A general explicit formula is derived which allows the determination of the state equations and of the performance measure as a function of the forcing period. An example illustrates the new method.
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