Volume 5, Number 1, January 2009, pp. 3-16
K. Addi
Key words:
variational inequalities, differential inclusions, recession functions, recession cones, set-valued ampere-volt characteristics, non-regular circuits
Mathematices Subject Classification: 49A52, 49A29, 49J40, 49K24, 47N10, 94C05
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Abstract:
In this paper, we present a mathematical modelling and analysis (existence, uniqueness...) of a non-regular electronic circuit using the superpotentiel of Moreau and the theories of variationnal inequalities and differential inclusions. Through this analysis example, we provide a new methodology for engineers to study a large class of applications. Some remarks are given to show perspectives of this work allowing to complete such analysis.
On mathematical analysis of a non-regular electronic circuit