Qualitative properties and stability analysis of the mathematical model for a DC-DC electric circuit
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917752126570496 |
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| author | Chistyakova, E. V. Sidorov, D. N. Domyshev, A. V. Chistyakov, V. F. |
| author_facet | Chistyakova, E. V. Sidorov, D. N. Domyshev, A. V. Chistyakov, V. F. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09854 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Qualitative properties and stability analysis of the mathematical model for a DC-DC electric circuit Chistyakova, E. V. Sidorov, D. N. Domyshev, A. V. Chistyakov, V. F. Systems and Control Numerical Analysis 34K35 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. |
| title | Qualitative properties and stability analysis of the mathematical model for a DC-DC electric circuit |
| topic | Systems and Control Numerical Analysis 34K35 |
| url | https://arxiv.org/abs/2408.09854 |