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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/2505.10116 |
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| _version_ | 1866914413923008512 |
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| author | Polyakov, Andrey |
| author_facet | Polyakov, Andrey |
| contents | The paper deals with analysis and design of sliding mode control systems modeled by finite-dimensional integro-differential equations. Filippov method and equivalent control approach are extended to a class of nonlinear discontinuous integro-differential equations and to a class of control systems modeled by infinite-dimensional differential equations in Banach spaces. Sliding mode control algorithms are designed for distributed input delay systems and for a heat control system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_10116 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Discontinuous integro-differential equations and sliding mode control Polyakov, Andrey Optimization and Control Systems and Control 93C23, 34K39 The paper deals with analysis and design of sliding mode control systems modeled by finite-dimensional integro-differential equations. Filippov method and equivalent control approach are extended to a class of nonlinear discontinuous integro-differential equations and to a class of control systems modeled by infinite-dimensional differential equations in Banach spaces. Sliding mode control algorithms are designed for distributed input delay systems and for a heat control system. |
| title | Discontinuous integro-differential equations and sliding mode control |
| topic | Optimization and Control Systems and Control 93C23, 34K39 |
| url | https://arxiv.org/abs/2505.10116 |