Search results for "cono normal"

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Differential inclusions involving normal cones of nonregular sets in Hilbert spaces

2017

This thesis is dedicated to the study of differential inclusions involving normal cones of nonregular sets in Hilbert spaces. In particular, we are interested in the sweeping process and its variants. The sweeping process is a constrained differential inclusion involving normal cones which appears naturally in several applications such as elastoplasticity, electrical circuits, hysteresis, crowd motion, etc.This work is divided conceptually in three parts: Study of positively alpha-far sets, existence results for differential inclusions involving normal cones and characterizations of Lyapunov pairs for the sweeping process. In the first part (Chapter 2), we investigate the class of positivel…

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]cône normalMoreau-Yosida regularizationcono normalmétodo de tipo Galerkinfonction distanceGalerkin-like methodMSC: 34A60 49J52 34G25 49J53 34B10 93D30subdiferencial de Clarkeprocessus de rafleInclusión diferencialensembles positivement alpha-far'sweeping processfonctions de Lyapunovsous-différentiel de Clarkeprocesos de arrastrefunción distanciaLyapunov functionsconjuntos positivamente alpha-farFunciones de Lyapunovméthode de type Galerkinrégularisation de Moreau-YosidaDifferential inclusions[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]Clarke subdifferentialregularización de Moreau-YosidaDistance functionInclusion différentielle[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]Normal conepositively alpha-far sets
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