Qualitative properties and stability analysis of the mathematical model for a DC-DC electric circuit
<|reference_start|>Qualitative properties and stability analysis of the mathematical model for a DC-DC electric circuit: 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.<|reference_end|>
@article{chistyakova2024qualitative,
    title={Qualitative properties and stability analysis of the mathematical model
  for a DC-DC electric circuit},
    author={E.V. Chistyakova, D.N. Sidorov, A.V. Domyshev and V.F. Chistyakov},
    journal={arXiv preprint arXiv:2408.09854},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.09854},
    primaryClass={eess.SY cs.NA cs.SY math.NA}
}