Abstract
Given a nonlinear analytical dynamic system (affine with respect to the input), its output function can be viewed as a signal parametrized by the primitives of the input functions. This signal can be formally described by its generating series. Hence we obtain a symbolic transform that generalizes Laplace transform of signals depend only on the time. We develop here the basic tools of that symbolic calculus. We prove a correspondence theorem between certain convolutions of signals and Cauchy products of generating series. Finally the Taylor expansion of triangular Volterra kernels is simply deduced.
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