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Convergence of the solutions of nonhomogeneous linear singularly perturbedsystems to that of the corresponding reduced singular system on the half-line[0, $\infty $) is considered. To include the situation on a neighborhood ofinitial instant, a boundary layer, a distributional approach to convergence isadopted. An explicit analytical expression for the limit as a distribution isproved.

Convergence in the Boundary Layer for Nonhomogeneous Linear Singularly Perturbed Systems