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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | https://arxiv.org/abs/2512.20418 |
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| _version_ | 1866915692679266304 |
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| author | Furtat, I. B. Kuznetsov, N. V. |
| author_facet | Furtat, I. B. Kuznetsov, N. V. |
| contents | The classical Andronov-Vyshnegradsky problem, which deals with locating regions of stability and oscillations in control systems with a Watt regulator, is solved using a divergence method for studying the stability of dynamic systems. This system is studied both with and without the self-regulation effect. The exact value of the hidden boundary of the global stability region is obtained. The stability criteria for a system with a Watt regulator are also presented in the context of the solvability of a linear matrix inequality. Computer modelling shows that the system exhibits hidden oscillations when the self-regulation effect is present and when it is not. The conditions for computing the hidden boundary of global stability are determined by three parameters in the Watt regulator model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20418 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Divergence Method to Stability Study of Andronov-Vyshnegradsky Problem. Hidden Oscillations Furtat, I. B. Kuznetsov, N. V. Systems and Control The classical Andronov-Vyshnegradsky problem, which deals with locating regions of stability and oscillations in control systems with a Watt regulator, is solved using a divergence method for studying the stability of dynamic systems. This system is studied both with and without the self-regulation effect. The exact value of the hidden boundary of the global stability region is obtained. The stability criteria for a system with a Watt regulator are also presented in the context of the solvability of a linear matrix inequality. Computer modelling shows that the system exhibits hidden oscillations when the self-regulation effect is present and when it is not. The conditions for computing the hidden boundary of global stability are determined by three parameters in the Watt regulator model. |
| title | Divergence Method to Stability Study of Andronov-Vyshnegradsky Problem. Hidden Oscillations |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2512.20418 |