Stabilisation of infinitesimally rigid formations of multi-robot networks
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Publication:5323239
DOI10.1080/00207170802108441zbMath1168.93306OpenAlexW2138296912MaRDI QIDQ5323239
Laura Krick, Mireille E. Broucke, Bruce A. Francis
Publication date: 23 July 2009
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207170802108441
Automated systems (robots, etc.) in control theory (93C85) Decentralized systems (93A14) Asymptotic stability in control theory (93D20) Applications of graph theory to circuits and networks (94C15)
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Cites Work
- Elementary structure of real algebraic varieties
- The rigidity of graphs. II
- Pursuit formations of unicycles
- The Multi-Agent Rendezvous Problem. Part 2: The Asynchronous Case
- Algebraic Graph Theory
- Global configuration stabilization for the VTOL aircraft with strong input coupling
- Formations of Vehicles in Cyclic Pursuit
- Flocking for Multi-Agent Dynamic Systems: Algorithms and Theory
- Robust Rendezvous for Mobile Autonomous Agents via Proximity Graphs in Arbitrary Dimensions
- Directed graphs for the analysis of rigidity and persistence in autonomous agent systems
- Certifying and constructing minimally rigid graphs in the plane
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