A method using the approach of Moreau and Panagiotopoulos for the mathematical formulation of non-regular circuits in electronics

Khalid Addi (1) , Samir Adly (2) , Bernard Brogliato (3) , Daniel Goeleven (1)

1 PIMENT - Physique et Ingénierie Mathématique pour l'Énergie, l'environnemeNt et le bâtimenT
2 XLIM-DMI - DMI
3 BIPOP - Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems

In this paper, we show how the approach of Moreau and Panagiotopoulos can be used to develop a suitable method for the formulation and mathematical analysis of circuits involving devices like diodes and thyristors.

Mots clés: Superpotential approach of Moreau and Panagiotopoulos; Mathematical model in electronics; Set-valued graphs in electronics; Ampere–volt characteristics; Variational and hemivariational inequalities; Non-regular circuits and systems; Clarke's subdifferential; Set-valued differential systems

Domaines: Mécanique des structures [physics.class-ph]

Khalid Addi, Samir Adly, Bernard Brogliato, Daniel Goeleven. A method using the approach of Moreau and Panagiotopoulos for the mathematical formulation of non-regular circuits in electronics. Nonlinear Analysis: Hybrid Systems, 2007, 1 (1), pp.30-43. ⟨10.1016/j.nahs.2006.04.001⟩. ⟨hal-00450964v2⟩