Emergent Behaviors of Cucker–Smale Flocks on Riemannian Manifolds

DOI10.1109/TAC.2020.3014096zbMath1467.93023OpenAlexW3046953591WikidataQ115264095 ScholiaQ115264095MaRDI QIDQ5002115

Seung-Yeal Ha, Doheon Kim, Franz Wilhelm Schlöder

Publication date: 26 July 2021

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2020.3014096

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Partial differential equations on manifolds; differential operators (58J99) Multi-agent systems (93A16)

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Emergent dynamics of a thermodynamic Cucker-Smale ensemble on complete Riemannian manifolds ⋮ A velocity alignment model with a bonding force on complete Riemannian manifolds ⋮ Collective behaviors of stochastic agent-based models and applications to finance and optimization ⋮ Asymptotic Tracking of a Point Cloud Moving on Riemannian Manifolds ⋮ Asymptotic flocking of the relativistic Cucker-Smale model with time delay ⋮ Leader-Following Rendezvous Control for Generalized Cucker-Smale Model on Riemannian Manifolds ⋮ Emergent behaviors of Cucker–Smale flocks on the hyperboloid ⋮ An intrinsic aggregation model on the special orthogonal group \(SO(3)\): well-posedness and collective behaviours ⋮ Emergent behaviors of relativistic flocks on Riemannian manifolds ⋮ The mean-field limit of the Cucker-Smale model on complete Riemannian manifolds ⋮ Emergent Behaviors of Rotation Matrix Flocks ⋮ Emergent behaviors of the discrete thermodynamic Cucker–Smale model on complete Riemannian manifolds

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