Journal
ASIAN JOURNAL OF CONTROL
Volume 20, Issue 2, Pages 956-961Publisher
WILEY
DOI: 10.1002/asjc.1599
Keywords
Multi-agent system; Routh-Hurwitz stability criterion; third-order consensus; time delay
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Funding
- National Natural Science Foundation of China [61573221, 61633014]
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This paper studies the consensus problem for a class of general third-order multi-agent systems on an undirected connected network. By employing a variables transformation, the consensus control problem can be turned into a asymptotical stability problem. Then we present a necessary and sufficient condition for guaranteeing consensus by using Routh-Hurwitz stability criterion. And this result can be applied to a special case of third-order integrator systems. Also we will present a tolerable communication time delay for third-order integrator systems under the assumption that multi-agent systems can reach consensus without communication delay.
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