Three and higher dimensional autonomous formations: rigidity, persistence and structural persistence

DOI10.1016/j.automatica.2006.08.025zbMath1137.93309OpenAlexW2138427182MaRDI QIDQ875471

Julien M. Hendrickx, Bariş Fidan, Brian D. O. Anderson, Changbin (Brad) Yu, Blondel, Vincent D.

Publication date: 13 April 2007

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2006.08.025

zbMATH Keywords

graph theoryautonomous agentsformations controlstructural persistence

Mathematics Subject Classification ID

Related Items (22)

Decentralized minimal‐time planar formation control of multi‐agent system ⋮ Adaptive 3D distance-based formation control of multiagent systems with unknown leader velocity and coplanar initial positions ⋮ Structure modeling and estimation of multiple resolvable group targets via graph theory and multi-Bernoulli filter ⋮ Development of redundant rigidity theory for formation control ⋮ Addressing agent loss in vehicle formations and sensor networks ⋮ Semiglobal synchronization of multiple generic linear agents with input saturation ⋮ An orthogonal basis approach to formation shape control ⋮ Globally asymptotically stable formation control of three agents ⋮ Global consensus of multiple integrator agents via saturated controls ⋮ A backstepping design for directed formation control of three-coleader agents in the plane ⋮ Synchronization of identical linear dynamic systems subject to input saturation ⋮ On persistent directed graphs ⋮ Global stabilization of rigid formations in the plane ⋮ Leader-follower formation via complex Laplacian ⋮ Distributed control of triangular formations with angle-only constraints ⋮ Formation shape control based on bearing rigidity ⋮ Interconnection topologies for multi-agent coordination under leader-follower framework ⋮ UAV Formation Control: Theory and Application ⋮ Control of a three-coleader formation in the plane ⋮ Closing ranks in rigid multi-agent formations using edge contraction ⋮ Switching formation shape control with distance + area/angle feedback ⋮ Further results on the distance and area control of planar formations

Cites Work

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• Formations of Vehicles in Cyclic Pursuit
• Necessary and sufficient graphical conditions for formation control of unicycles
• Directed graphs for the analysis of rigidity and persistence in autonomous agent systems

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