Qualitative Stability of a Class of Non-Monotone Variational Inclusions. Application in Electronics
Journal of convex analysis, Tome 20 (2013) no. 1, pp. 43-66
Cet article a éte moissonné depuis la source Heldermann Verlag
The main concern of this paper is to investigate some stability properties (namely Aubin property and isolated calmness) of a special non-monotone variational inclusion. We provide a characterization of these properties in terms of the problem data and show their importance for the design of electrical circuits involving nonsmooth and non-monotone electronic devices like DIAC (DIode Alternating Current). Circuits with other devices like SCR (Silicon Controlled Rectifiers), Zener diodes, thyristors, varactors and transistors can be analyzed in the same way.
Classification :
46N10, 47N10, 47J20, 49J40, 34A60
Mots-clés : Hemivariational inequalities, nonsmooth and variational analysis, Aubin property, isolated calmness, non-regular electrical circuits
Mots-clés : Hemivariational inequalities, nonsmooth and variational analysis, Aubin property, isolated calmness, non-regular electrical circuits
@article{JCA_2013_20_1_JCA_2013_20_1_a3,
author = {S. Adly and J. V. Outrata},
title = {Qualitative {Stability} of a {Class} of {Non-Monotone} {Variational} {Inclusions.} {Application} in {Electronics}},
journal = {Journal of convex analysis},
pages = {43--66},
year = {2013},
volume = {20},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JCA_2013_20_1_JCA_2013_20_1_a3/}
}
TY - JOUR AU - S. Adly AU - J. V. Outrata TI - Qualitative Stability of a Class of Non-Monotone Variational Inclusions. Application in Electronics JO - Journal of convex analysis PY - 2013 SP - 43 EP - 66 VL - 20 IS - 1 UR - http://geodesic.mathdoc.fr/item/JCA_2013_20_1_JCA_2013_20_1_a3/ ID - JCA_2013_20_1_JCA_2013_20_1_a3 ER -
%0 Journal Article %A S. Adly %A J. V. Outrata %T Qualitative Stability of a Class of Non-Monotone Variational Inclusions. Application in Electronics %J Journal of convex analysis %D 2013 %P 43-66 %V 20 %N 1 %U http://geodesic.mathdoc.fr/item/JCA_2013_20_1_JCA_2013_20_1_a3/ %F JCA_2013_20_1_JCA_2013_20_1_a3
S. Adly; J. V. Outrata. Qualitative Stability of a Class of Non-Monotone Variational Inclusions. Application in Electronics. Journal of convex analysis, Tome 20 (2013) no. 1, pp. 43-66. http://geodesic.mathdoc.fr/item/JCA_2013_20_1_JCA_2013_20_1_a3/