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Information Technology Journal

Year: 2009 | Volume: 8 | Issue: 2 | Page No.: 165-172
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Authors

Xiang-Shun Li

Hua-Jing Fang

Keywords

Research Article

Stability of Continuous-Time Vehicles Formations with Time Delays in Undirected Communication Network

Xiang-Shun Li and Hua-Jing Fang
This study mainly focuses on stability analysis of vehicles formations with time delays in the communication network. The network model with time delays of swarm vehicles for continuous-time systems is introduced. The vehicles exchange information according to a pre-specified (undirected) communication graph. The feedback control is based only on relative information about vehicle states shared via the communication links. Asymptotical stability of vehicles formations for both delay-independent and delay-dependent cases is analyzed. The sufficient conditions for vehicles formations stabilities are investigated based on tools from linear matrix inequality theory, algebraic graph theory, matrix theory and control theory. Finally, an illustrative example is used to show the validity of the theoretical results.
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