✦ LIBER ✦
A note on connectivity of multi-agent systems with proximity graphs and linear feedback protocol
✍ Scribed by Zhendong Sun; Jie Huang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 708 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0005-1098
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✦ Synopsis
a b s t r a c t
In this note, we investigate the possibility of simplifying the connectivity verification for multi-agent systems with proximity graphs and the linear feedback protocol. A Lyapunov-like approach is developed for analyzing the monotonicity of the largest edge length in the network. Based on this approach, we provide an initial-connectivity-based sufficient condition for dynamic connectivity. In particular, when each initial node degree is not less than three fourth of the graph order, initial network connectivity implies dynamic connectivity.