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Systems with slowly varying inputs are discussed as a special class of two-time-scale systems, and singular perturbation results are seen as convenient tools to analyze their properties. A lemma by F.C. Hoppensteadt (Trans. Amer. Math. Soc., vol.123, p.521-35, 1966) for a parameterized family of systems is restated and applied to the analysis of systems with slowly varying inputs.>
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Khalil et al. (1991) studied this question.
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