Qualitative Stability of a Class of Non-Monotone Variational Inclusions. Application in Electronics

0392738 - ÚTIA 2014 RIV DE eng J - Journal Article
Adly, S. - Outrata, Jiří
Qualitative Stability of a Class of Non-Monotone Variational Inclusions. Application in Electronics.
Journal of Convex Analysis. Roč. 20, č. 1 (2013), s. 43-66. ISSN 0944-6532. E-ISSN 0944-6532
R&D Projects: GA AV ČR IAA100750802; GA ČR(CZ) GAP201/12/0671
Institutional support: RVO:67985556
Keywords : Hemivariational inequalities * Nonsmooth and variational analysis * Aubin property * Isolated calmness * Non-regular electrical circuits
Subject RIV: BA - General Mathematics
Impact factor: 0.592, year: 2013
http://library.utia.cas.cz/separaty/2013/MTR/outrata-0392738.pdf

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.
Permanent Link: http://hdl.handle.net/11104/0221803