Steering Opinion Dynamics in Signed Time-Varying Networks via External Control Input
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915612939255808 |
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| author | Priya, Swati Tripathy, Twinkle |
| author_facet | Priya, Swati Tripathy, Twinkle |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09152 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Steering Opinion Dynamics in Signed Time-Varying Networks via External Control Input Priya, Swati Tripathy, Twinkle Systems and Control Multiagent Systems 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. |
| title | Steering Opinion Dynamics in Signed Time-Varying Networks via External Control Input |
| topic | Systems and Control Multiagent Systems |
| url | https://arxiv.org/abs/2511.09152 |