Convergence in the Boundary Layer for Nonhomogeneous Linear Singularly Perturbed Systems

Details Convergence in the Boundary Layer for Nonhomogeneous Linear Singularly Perturbed Systems Convergence in the Boundary Layer for Nonhomogeneous Linear Singularly Perturbed Systems

2008-05-25

arxiv.org/abs/0805.3811v1

Mathematics

Optimization and Control

10 pages

Scientific paper

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

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