A lifting method for analyzing distributed synchronization on the unit sphere

DOI10.1016/j.automatica.2018.07.007zbMath1406.93033arXiv1805.02528OpenAlexW2802936575WikidataQ129557929 ScholiaQ129557929MaRDI QIDQ1716466

Johan Markdahl, Johan Thunberg, Florian Bernard, Jorge M. Gonçalves

Publication date: 5 February 2019

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.02528

zbMATH Keywords

asymptotic stabilizationmulti-agent systemsattitude synchronizationcontrol of networkscontrol of constrained systemsconsensus on the sphere

Mathematics Subject Classification ID

Geometric methods (93B27) Decentralized systems (93A14) Asymptotic stability in control theory (93D20) Agent technology and artificial intelligence (68T42)

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Cites Work

• Unnamed Item
• Consensus and formation control on \(SE(3)\) for switching topologies
• Synchronization in complex networks of phase oscillators: a survey
• Distributed attitude synchronization control of multi-agent systems with switching topologies
• Synchronization and balancing on the \(N\)-torus
• Autonomous rigid body attitude synchronization
• Global target aggregation and state agreement of nonlinear multi-agent systems with switching topologies
• A lifting method for analyzing distributed synchronization on the unit sphere
• Dynamic controllers for column synchronization of rotation matrices: a QR-factorization approach
• Distributed methods for synchronization of orthogonal matrices over graphs
• Distributed attitude synchronization using backstepping and sliding mode control
• Distributed 3-D Localization of Camera Sensor Networks From 2-D Image Measurements
• Unified Cooperative Control of Multiple Agents on a Sphere for Different Spherical Patterns
• Local Lyapunov Functions for Consensus in Switching Nonlinear Systems
• Coordinated Motion Design on Lie Groups
• Consensus Optimization on Manifolds
• Riemannian Consensus for Manifolds With Bounded Curvature
• State Agreement for Continuous‐Time Coupled Nonlinear Systems

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