Complementarity and variational inequalities in electronics. (English) Zbl 1375.94178
Daras, Nicholas J. (ed.) et al., Operations research, engineering, and cyber security. Trends in applied mathematics and technology. Based on the presentations at the conference, Nea Peramos, Greece, May 2015. Cham: Springer (ISBN 978-3-319-51498-7/hbk; 978-3-319-51500-7/ebook). Springer Optimization and Its Applications 113, 1-43 (2017).
Summary: The purpose of this chapter is to review and describe the main mathematical models applicable to the study of electrical networks involving devices like diodes whose Ampere-Volt characteristics are set-valued graphs. The mathematical models in question are related to complementarity problems, variational inequalities, and non-regular dynamical systems.
For the entire collection see [Zbl 1369.90003].
For the entire collection see [Zbl 1369.90003].
MSC:
| 94C05 | Analytic circuit theory |
| 49J40 | Variational inequalities |
| 90C35 | Programming involving graphs or networks |
