Qualitative properties and stability analysis of the mathematical model for a DC-DC electric circuit
Systems and Control
2024-08-20 v1 Numerical Analysis
Systems and Control
Numerical Analysis
Abstract
This paper describes a simplified model of an electric circuit with a DC-DC converter and a PID-regulator as a system of integral differential equations with an identically singular matrix multiplying the higher derivative of the desired vector-function. We use theoretical results on integral and differential equations and their systems to prove solvability of such a model and analyze its stability.
Keywords
Cite
@article{arxiv.2408.09854,
title = {Qualitative properties and stability analysis of the mathematical model for a DC-DC electric circuit},
author = {E. V. Chistyakova and D. N. Sidorov and A. V. Domyshev and V. F. Chistyakov},
journal= {arXiv preprint arXiv:2408.09854},
year = {2024}
}
Comments
submitted to COIA-2024. arXiv admin note: text overlap with arXiv:2408.06045