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math.OC2019
Consensus seeking gradient descent flows on boundaries of convex sets
Johan Markdahl
Consensus on nonlinear spaces is of use in many control applications. This paper proposes a gradient descent flow algorithm for consensus on hypersurfaces. We show that if an inequ…
math.OC2019
Synchronization on Riemannian manifolds: Multiply connected implies multistable
Johan Markdahl
This note concerns the evolution of multi-agent systems on networks over Riemannian manifolds. The motion of each agent is governed by the gradient descent flow of a disagreement f…