Counterexamples in synchronization: pathologies of consensus seeking gradient descent flows on surfaces

DOI10.1016/j.automatica.2021.109945zbMath1478.93635arXiv2104.02033OpenAlexW3201888890WikidataQ124811375 ScholiaQ124811375MaRDI QIDQ2665738

Johan Markdahl

Publication date: 19 November 2021

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.02033

zbMATH Keywords

optimizationasymptotic stabilitydifferential geometrymulti-agent systemsconsensus

Mathematics Subject Classification ID

Geometric methods (93B27) Asymptotic stability in control theory (93D20) Multi-agent systems (93A16) Consensus (93D50) Applications of differential geometry to engineering (53Z30)

Related Items (4)

A velocity alignment model on quotient spaces of the Euclidean space ⋮ Improved numerical scheme for the generalized Kuramoto model ⋮ Multisoliton complex systems with explicit superpotential interactions ⋮ Kuramoto Networks with Infinitely Many Stable Equilibria

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