Exponential Consensus through Z-Control in High-Order Multi-Agent Systems
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908675245867008 |
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| author | Monti, Angela Diele, Fasma |
| author_facet | Monti, Angela Diele, Fasma |
| contents | In this work, we introduce a Z-control strategy for multi-agent systems of arbitrary order, aimed at driving the agents toward consensus in the highest-order observable state. The proposed framework supports both direct and indirect control schemes, making it applicable in scenarios where high-order derivatives such as acceleration cannot be directly manipulated. Theoretical analysis ensures exponential convergence while preserving the average dynamics, and a hierarchy of control laws is derived accordingly. Numerical experiments up to third-order models, including opinion dynamics and Cucker-Smale flocking systems, demonstrate the robustness and flexibility of Z-control under varying interaction regimes and control intensities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19252 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exponential Consensus through Z-Control in High-Order Multi-Agent Systems Monti, Angela Diele, Fasma Optimization and Control 93A14, 93C15, 93B52 In this work, we introduce a Z-control strategy for multi-agent systems of arbitrary order, aimed at driving the agents toward consensus in the highest-order observable state. The proposed framework supports both direct and indirect control schemes, making it applicable in scenarios where high-order derivatives such as acceleration cannot be directly manipulated. Theoretical analysis ensures exponential convergence while preserving the average dynamics, and a hierarchy of control laws is derived accordingly. Numerical experiments up to third-order models, including opinion dynamics and Cucker-Smale flocking systems, demonstrate the robustness and flexibility of Z-control under varying interaction regimes and control intensities. |
| title | Exponential Consensus through Z-Control in High-Order Multi-Agent Systems |
| topic | Optimization and Control 93A14, 93C15, 93B52 |
| url | https://arxiv.org/abs/2511.19252 |