Lyapunov pairs for perturbed sweeping processes |
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| Authors: | Abderrahim Hantoute Emilio Vilches |
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| Institution: | 1.Centro de Modelamiento Matemático (CMM),Universidad de Chile,Santiago,Chile;2.Departamento de Ingeniería Matemática,Universidad de Chile,Santiago,Chile;3.Instituto de Ciencias de la Educación,Universidad de O’Higgins,Rancagua,Chile;4.Institut de Mathématiques de Bourgogne,Université de Bourgogne,Dijon,France |
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| Abstract: | We give a full characterization of nonsmooth Lyapunov pairs for perturbed sweeping processes under very general hypotheses. As a consequence, we provide an existence result and a criterion for weak invariance for perturbed sweeping processes. Moreover, we characterize Lyapunov pairs for gradient complementarity dynamical systems. |
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