{"ID":2842735,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.09152","arxiv_id":"2511.09152","title":"Steering Opinion Dynamics in Signed Time-Varying Networks via External Control Input","abstract":"This paper studies targeted opinion formation in multi-agent systems evolving over signed, time-varying directed graphs. The dynamics of each agent's state follow a Laplacian-based update rule driven by both cooperative and antagonistic interactions in the presence of exogenous factors. We formulate these exogenous factors as external control inputs and establish a suitable controller design methodology enabling collective opinion to converge to any desired steady-state configuration, superseding the natural emergent clustering or polarization behavior imposed by persistently structurally balanced influential root nodes. Our approach leverages upper Dini derivative analysis and Grönwall-type inequalities to establish exponential convergence for opinion magnitude towards the desired steady state configuration on networks with uniform quasi-strong $δ$-connectivity. Finally, the theoretical results are validated through extensive numerical simulations.","short_abstract":"This paper studies targeted opinion formation in multi-agent systems evolving over signed, time-varying directed graphs. The dynamics of each agent's state follow a Laplacian-based update rule driven by both cooperative and antagonistic interactions in the presence of exogenous factors. We formulate these exogenous fac...","url_abs":"https://arxiv.org/abs/2511.09152","url_pdf":"https://arxiv.org/pdf/2511.09152v1","authors":"[\"Swati Priya\",\"Twinkle Tripathy\"]","published":"2025-11-12T09:42:17Z","proceeding":"eess.SY","tasks":"[\"eess.SY\",\"cs.MA\"]","methods":"[]","has_code":false}