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Lyapunov pairs for perturbed sweeping processes

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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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Acknowledgements

The research of the second author was supported by CONICYT-PCHA-Doctorado-Nacional 2013/21130676.

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Authors and Affiliations

  1. Centro de Modelamiento Matemático (CMM), Universidad de Chile, Santiago, Chile

    Abderrahim Hantoute

  2. Departamento de Ingeniería Matemática, Universidad de Chile, Santiago, Chile

    Emilio Vilches

  3. Instituto de Ciencias de la Educación, Universidad de O’Higgins, Rancagua, Chile

    Emilio Vilches

  4. Institut de Mathématiques de Bourgogne, Université de Bourgogne, Dijon, France

    Emilio Vilches

Authors
  1. Abderrahim Hantoute
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  2. Emilio Vilches
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Correspondence to Emilio Vilches.

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Hantoute, A., Vilches, E. Lyapunov pairs for perturbed sweeping processes. Optim Lett 12, 1773–1787 (2018). https://doi.org/10.1007/s11590-018-1231-4

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  • DOI: https://doi.org/10.1007/s11590-018-1231-4

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