Finite-time optimal formation control of multi-agent systems on the Lie group SE(3)

DOI10.1080/00207179.2013.792006zbMath1312.93006OpenAlexW2021678814WikidataQ115310228 ScholiaQ115310228MaRDI QIDQ5252946

Zhi-Yong Geng, Yongfang Liu

Publication date: 3 June 2015

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

Full work available at URL: https://doi.org/10.1080/00207179.2013.792006

zbMATH Keywords

optimal controlLie groupmulti-agent systemfinite-timeformation

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Decentralized systems (93A14) Algebraic methods (93B25) Agent technology and artificial intelligence (68T42)

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Cites Work

• Stable synchronization of rigid body networks
• Autonomous rigid body attitude synchronization
• Control theory on Lie groups
• Synchronized multiple spacecraft rotations
• Equilibria and steering laws for planar formations
• Decentralized control of vehicle formations
• Consensus in multi-agent systems with communication constraints
• An intelligent control concept for formation flying satellites
• Universal adaptive control of satellite formation flying
• Attitude Synchronization of a Group of Spacecraft Without Velocity Measurements
• Coordinated Motion Design on Lie Groups
• Information Flow and Cooperative Control of Vehicle Formations
• Consensus Problems in Networks of Agents With Switching Topology and Time-Delays
• Singularities of Optimal Control Problems on Some 6-D Lie Groups
• Finite-Time Attitude Tracking Control of Spacecraft With Application to Attitude Synchronization
• Finite‐Time Optimal Formation Control for Second‐Order Multiagent Systems
• Functions of Matrices