Development of redundant rigidity theory for formation control

DOI10.1002/rnc.1386zbMath1298.93040OpenAlexW2038926068MaRDI QIDQ2928279

Changbin (Brad) Yu, Brian D. O. Anderson

Publication date: 7 November 2014

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rnc.1386

zbMATH Keywords

robustnessredundancygraph connectivityformation controlgraph rigidity

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Decentralized systems (93A14) Applications of graph theory to circuits and networks (94C15) Agent technology and artificial intelligence (68T42)

Related Items (10)

Sparse Graphs and an Augmentation Problem ⋮ On the robustness to multiple agent losses in 2D and 3D formations ⋮ Redundantly globally rigid braced triangulations ⋮ Minimum Cost Globally Rigid Subgraphs ⋮ Distributed stabilization control of rigid formations with prescribed orientation ⋮ On minimally highly vertex-redundantly rigid graphs ⋮ Minimum size highly redundantly rigid graphs in the plane ⋮ Time-varying output formation control for linear multi-agent systems with switching topologies ⋮ Extremal families of redundantly rigid graphs in three dimensions ⋮ Sparse graphs and an augmentation problem

Cites Work

• Three and higher dimensional autonomous formations: rigidity, persistence and structural persistence
• Connected rigidity matroids and unique realizations of graphs
• On graphs and rigidity of plane skeletal structures
• Flocking for Multi-Agent Dynamic Systems: Algorithms and Theory

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