Matches in SemOpenAlex for { <https://semopenalex.org/work/W4298201107> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W4298201107 abstract "In this paper, we investigate how the self-synchronization property of a swarm of Kuramoto oscillators can be controlled and exploited to achieve target densities and target phase coherence. In the limit of an infinite number of oscillators, the collective dynamics of the agents' density is described by a mean-field model in the form of a nonlocal PDE, where the nonlocality arises from the synchronization mechanism. In this mean-field setting, we introduce two space-time dependent control inputs to affect the density of the oscillators: an angular velocity field that corresponds to a state feedback law for individual agents, and a control parameter that modulates the strength of agent interactions over space and time, i.e., a multiplicative control with respect to the integral nonlocal term. We frame the density tracking problem as a PDE-constrained optimization problem. The controlled synchronization and phase-locking are measured with classical polar order metrics. After establishing the mass conservation property of the mean-field model and bounds on its nonlocal term, a system of first-order necessary conditions for optimality is recovered using a Lagrangian method. The optimality system, comprising a nonlocal PDE for the state dynamics equation, the respective nonlocal adjoint dynamics, and the Euler equation, is solved iteratively following a standard Optimize-then-Discretize approach and an efficient numerical solver based on spectral methods. We demonstrate our approach for each of the two control inputs in simulation." @default.
- W4298201107 created "2022-10-01" @default.
- W4298201107 creator A5050750282 @default.
- W4298201107 creator A5076142872 @default.
- W4298201107 creator A5077486119 @default.
- W4298201107 date "2021-09-15" @default.
- W4298201107 modified "2023-10-17" @default.
- W4298201107 title "Optimal Control of Velocity and Nonlocal Interactions in the Mean-Field Kuramoto Model" @default.
- W4298201107 doi "https://doi.org/10.48550/arxiv.2109.07115" @default.
- W4298201107 hasPublicationYear "2021" @default.
- W4298201107 type Work @default.
- W4298201107 citedByCount "0" @default.
- W4298201107 crossrefType "posted-content" @default.
- W4298201107 hasAuthorship W4298201107A5050750282 @default.
- W4298201107 hasAuthorship W4298201107A5076142872 @default.
- W4298201107 hasAuthorship W4298201107A5077486119 @default.
- W4298201107 hasBestOaLocation W42982011071 @default.
- W4298201107 hasConcept C114614502 @default.
- W4298201107 hasConcept C121332964 @default.
- W4298201107 hasConcept C126255220 @default.
- W4298201107 hasConcept C134306372 @default.
- W4298201107 hasConcept C151342819 @default.
- W4298201107 hasConcept C154945302 @default.
- W4298201107 hasConcept C162324750 @default.
- W4298201107 hasConcept C184720557 @default.
- W4298201107 hasConcept C202213908 @default.
- W4298201107 hasConcept C2775924081 @default.
- W4298201107 hasConcept C2777303404 @default.
- W4298201107 hasConcept C2778562939 @default.
- W4298201107 hasConcept C2778770139 @default.
- W4298201107 hasConcept C2780042749 @default.
- W4298201107 hasConcept C28826006 @default.
- W4298201107 hasConcept C33923547 @default.
- W4298201107 hasConcept C41008148 @default.
- W4298201107 hasConcept C47446073 @default.
- W4298201107 hasConcept C50522688 @default.
- W4298201107 hasConcept C62520636 @default.
- W4298201107 hasConcept C73000952 @default.
- W4298201107 hasConcept C91575142 @default.
- W4298201107 hasConcept C97355855 @default.
- W4298201107 hasConceptScore W4298201107C114614502 @default.
- W4298201107 hasConceptScore W4298201107C121332964 @default.
- W4298201107 hasConceptScore W4298201107C126255220 @default.
- W4298201107 hasConceptScore W4298201107C134306372 @default.
- W4298201107 hasConceptScore W4298201107C151342819 @default.
- W4298201107 hasConceptScore W4298201107C154945302 @default.
- W4298201107 hasConceptScore W4298201107C162324750 @default.
- W4298201107 hasConceptScore W4298201107C184720557 @default.
- W4298201107 hasConceptScore W4298201107C202213908 @default.
- W4298201107 hasConceptScore W4298201107C2775924081 @default.
- W4298201107 hasConceptScore W4298201107C2777303404 @default.
- W4298201107 hasConceptScore W4298201107C2778562939 @default.
- W4298201107 hasConceptScore W4298201107C2778770139 @default.
- W4298201107 hasConceptScore W4298201107C2780042749 @default.
- W4298201107 hasConceptScore W4298201107C28826006 @default.
- W4298201107 hasConceptScore W4298201107C33923547 @default.
- W4298201107 hasConceptScore W4298201107C41008148 @default.
- W4298201107 hasConceptScore W4298201107C47446073 @default.
- W4298201107 hasConceptScore W4298201107C50522688 @default.
- W4298201107 hasConceptScore W4298201107C62520636 @default.
- W4298201107 hasConceptScore W4298201107C73000952 @default.
- W4298201107 hasConceptScore W4298201107C91575142 @default.
- W4298201107 hasConceptScore W4298201107C97355855 @default.
- W4298201107 hasLocation W42982011071 @default.
- W4298201107 hasOpenAccess W4298201107 @default.
- W4298201107 hasPrimaryLocation W42982011071 @default.
- W4298201107 hasRelatedWork W1697484951 @default.
- W4298201107 hasRelatedWork W2094555119 @default.
- W4298201107 hasRelatedWork W2112653391 @default.
- W4298201107 hasRelatedWork W2912110980 @default.
- W4298201107 hasRelatedWork W2952649113 @default.
- W4298201107 hasRelatedWork W3165160669 @default.
- W4298201107 hasRelatedWork W4200634329 @default.
- W4298201107 hasRelatedWork W4236700751 @default.
- W4298201107 hasRelatedWork W4287177413 @default.
- W4298201107 hasRelatedWork W4289097782 @default.
- W4298201107 isParatext "false" @default.
- W4298201107 isRetracted "false" @default.
- W4298201107 workType "article" @default.