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arXiv · 2408.09854

Qualitative properties and stability analysis of the mathematical model for a DC-DC electric circuit

E. V. Chistyakova·D. N. Sidorov·A. V. Domyshev·V. F. Chistyakov
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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.

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E. V. Chistyakova, D. N. Sidorov, A. V. Domyshev, V. F. Chistyakov. 2024-08-19. Qualitative properties and stability analysis of the mathematical model for a DC-DC electric circuit. https://arxiv.org/abs/2408.09854

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