Summary

International Symposium on Nonlinear Theory and its Applications

2010

Session Number:B1L-C

Session:

Number:B1L-C3

Convergence Analysis of Discrete-Time Multi-Agent Systems Based on Sequential Connectivity

Yao Chen,  Jinhu Lu,  Daniel W. C. Ho,  Xinghuo Yu,  

pp.233-236

Publication Date:2010/9/5

Online ISSN:2188-5079

DOI:10.34385/proc.44.B1L-C3

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Summary:
It is well known that the jointly connectivity and sequential connectivity are two fundamental concepts in multi-agent systems. We discover that the jointly connectivity is equivalent to sequential connectivity if the communication topology has self-loops at each node. Based on the above result, the consensus of discrete-time multi-agent systems is then given under the condition of jointly connectivity by constructing a sequentially connected sequence. The above proof greatly simplified the former proofs.