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Impulsive stabilization of functional differential equations with infinite delays. (English) Zbl 1068.93054
Summary: We study the stability of a class of impulsive functional differential equations with infinite delays. We establish a uniform stability theorem and a uniform asymptotic stability theorem, which shows that certain impulsive perturbations may make unstable systems uniformly stable, even uniformly asymptotically stable.
MSC:
93D15Stabilization of systems by feedback
34K20Stability theory of functional-differential equations
34K45Functional-differential equations with impulses