Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

Jiri V. Outrata

Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Pod vodárenskou vezí 4, 182 08 Prague, Czech Republic
and: Centre for Informatics and Applied Optimization, University of Ballarat, P. O. Box 663, Ballarat, Vic. 3353, Australia

outrata@utia.cas.cz

Keywords

  • Hemivariational inequalities
  • nonsmooth and variational analysis
  • Aubin property
  • isolated calmness
  • non-regular electrical circuits

Mathematics Subject Classification

46N10, 47N10, 47J20, 49J40, 34A60

Suggested citation

S. Adly, J. V. Outrata. “Qualitative Stability of a Class of Non-Monotone Variational Inclusions. Application in Electronics.” Journal of Convex Analysis 20 (2013), No. 1, 43–66.

Copyright Heldermann Verlag 2013