Sparse control in microscopic and mean-field leader-follower models
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915203129540608 |
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| author | Harms, Melanie Herty, Michael Segala, Chiara Zerz, Eva |
| author_facet | Harms, Melanie Herty, Michael Segala, Chiara Zerz, Eva |
| contents | This work investigates the decay properties of Lyapunov functions in leader-follower systems seen as a sparse control framework. Starting with a microscopic representation, we establish conditions under which the total Lyapunov function, encompassing both leaders and followers, exhibits exponential decay. The analysis is extended to a hybrid setting combining a mean-field description for followers and a microscopic model for leaders. We identify sufficient conditions on control gain and interaction strengths that guarantee stabilization of the linear system towards a target state. The results highlight the influence of sparse control and interaction parameters in achieving coordinated behavior in multi-agent systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_14113 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sparse control in microscopic and mean-field leader-follower models Harms, Melanie Herty, Michael Segala, Chiara Zerz, Eva Optimization and Control This work investigates the decay properties of Lyapunov functions in leader-follower systems seen as a sparse control framework. Starting with a microscopic representation, we establish conditions under which the total Lyapunov function, encompassing both leaders and followers, exhibits exponential decay. The analysis is extended to a hybrid setting combining a mean-field description for followers and a microscopic model for leaders. We identify sufficient conditions on control gain and interaction strengths that guarantee stabilization of the linear system towards a target state. The results highlight the influence of sparse control and interaction parameters in achieving coordinated behavior in multi-agent systems. |
| title | Sparse control in microscopic and mean-field leader-follower models |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2503.14113 |