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Robustness of exponential stability to singular perturbations and delays. (English) Zbl 1153.93021
Summary: Singularly perturbed nonlinear differential equations with small time delays in the slow variables are considered. Averages of the fast variables are used in order to obtain a sufficient condition under which the exponential stability of the slow subsystem is robust to singular perturbations and delays.

93D09Robust stability of control systems
93C15Control systems governed by ODE
93C10Nonlinear control systems
93C70Time-scale analysis and singular perturbations
Full Text: DOI
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