On stability properties of nonlinear systems with slowly varying inputs

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. >