Synchronization on Riemannian Manifolds: Multiply Connected Implies Multistable

DOI10.1109/TAC.2020.3030849zbMath1471.93020arXiv1906.07452OpenAlexW3198417068WikidataQ115264064 ScholiaQ115264064MaRDI QIDQ4957726

Johan Markdahl

Publication date: 9 September 2021

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

Full work available at URL: https://arxiv.org/abs/1906.07452

zbMATH Keywords

optimizationnonlinear systemssynchronizationagents and autonomous systemsnetwork analysis and control

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Multi-agent systems (93A16) Networked control (93B70)

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Counterexamples in synchronization: pathologies of consensus seeking gradient descent flows on surfaces ⋮ Collective behaviors of stochastic agent-based models and applications to finance and optimization ⋮ Emergent behaviors of two attractively coupled swarm sphere models with frustration ⋮ Emergent behaviors of Lohe tensor flocks ⋮ Emergent behaviors of high-dimensional Kuramoto models on Stiefel manifolds ⋮ A mean-field limit of the Lohe matrix model and emergent dynamics ⋮ Synchronization of dynamical systems on Riemannian manifolds by an extended PID-type control theory: numerical evaluation ⋮ Collision Avoidance of Multiagent Systems on Riemannian Manifolds

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