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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.20788 |
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| _version_ | 1866909709181648896 |
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| author | Ivan, Mihai |
| author_facet | Ivan, Mihai |
| contents | On the 3-dimensional fractional-order Toda lattice with two controls
The main purpose of this paper is to study the fractional-order system with Caputo derivative associated to 3-dimensional Toda lattice with two controls. For this fractional system we investigate the existence and uniqueness of solution of initial value problem, asymptotic stability of its equilibrium states, stabilization problem using appropriate controls and numerical integration via the fractional Euler method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20788 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the 3-dimensional fractional-order Toda lattice with two controls Ivan, Mihai Dynamical Systems 26A33, 53D05, 65P20, 70H05 On the 3-dimensional fractional-order Toda lattice with two controls The main purpose of this paper is to study the fractional-order system with Caputo derivative associated to 3-dimensional Toda lattice with two controls. For this fractional system we investigate the existence and uniqueness of solution of initial value problem, asymptotic stability of its equilibrium states, stabilization problem using appropriate controls and numerical integration via the fractional Euler method. |
| title | On the 3-dimensional fractional-order Toda lattice with two controls |
| topic | Dynamical Systems 26A33, 53D05, 65P20, 70H05 |
| url | https://arxiv.org/abs/2507.20788 |