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A new approach to exact slow-fast decomposition of singularly perturbed linear systems with small delays

A linear time-invariant singularly perturbed system with point-wise and distributed small time delays is considered. A direct approach to exact slow-fast decomposition of this system is proposed. Unlike the existing method, this approach does not require the asymptotic stability of the fast subsystem. Moreover, not requiring a complicated mathematical technique, this approach is much simpler for using in various engineering applications. An illustrative example is presented.