Stabilization of Multi Fractional Order Differential Equation with Delay Time and Feedback Control
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910400128221184 |
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| author | Hassoun, B. Al-Saphory, R. Hassan, S. |
| author_facet | Hassoun, B. Al-Saphory, R. Hassan, S. |
| contents | The purpose of this article is to introduce the original results which devoted with the nonlinear control system problems involves of nonlinear differential equations of fractional orders. Thus, this system is described with a mixed of ordinary derivatives in the first and second order that, are unstable before feedback gain. More precisely, we investigate and analysis the nonlinear control system in related to feedback gain matrix. In addition, we prove that the considered system is locally asymptotically stabilizable via certain conditions. Then, this work reinforce through some application examples that programmed for illustrating and showing the stabilizability of the current systems with high efficiency and accuracy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04304 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stabilization of Multi Fractional Order Differential Equation with Delay Time and Feedback Control Hassoun, B. Al-Saphory, R. Hassan, S. Optimization and Control 93D15 The purpose of this article is to introduce the original results which devoted with the nonlinear control system problems involves of nonlinear differential equations of fractional orders. Thus, this system is described with a mixed of ordinary derivatives in the first and second order that, are unstable before feedback gain. More precisely, we investigate and analysis the nonlinear control system in related to feedback gain matrix. In addition, we prove that the considered system is locally asymptotically stabilizable via certain conditions. Then, this work reinforce through some application examples that programmed for illustrating and showing the stabilizability of the current systems with high efficiency and accuracy. |
| title | Stabilization of Multi Fractional Order Differential Equation with Delay Time and Feedback Control |
| topic | Optimization and Control 93D15 |
| url | https://arxiv.org/abs/2404.04304 |