{"ID":2837643,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.19252","arxiv_id":"2511.19252","title":"Exponential Consensus through Z-Control in High-Order Multi-Agent Systems","abstract":"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.","short_abstract":"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...","url_abs":"https://arxiv.org/abs/2511.19252","url_pdf":"https://arxiv.org/pdf/2511.19252v2","authors":"[\"Angela Monti\",\"Fasma Diele\"]","published":"2025-11-24T16:04:14Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}