A qualitative mathematical analysis of a class of variational inequalities via semi-complementarity problems: applications in electronicsReport as inadecuate




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1 IREMIA - Institut de REcherche en Mathématiques et Informatique Appliquées 2 BIPOP - Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble

Abstract : The main object of this paper is to present a general mathematical theory applicable to the study of a large class of linear variational inequalities arising in electronics. Our approach uses recession tools so as to define a new class of problems that we call -semi-complementarity problems-. Then we show that the study of semi-complementarity problems can be used to prove new qualitative results applicable to the study of linear variational inequalities of the second kind

Keywords : Linear complementarity problems Linear variational inequalities Set-valued ampere-volt characteristics in electronics Recession functions Recession cones





Author: Khalid Addi - Bernard Brogliato - Daniel Goeleven -

Source: https://hal.archives-ouvertes.fr/



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