Journal
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
Volume 9, Issue 6, Pages 1111-1115Publisher
INST CONTROL ROBOTICS & SYSTEMS, KOREAN INST ELECTRICAL ENGINEERS
DOI: 10.1007/s12555-011-0612-6
Keywords
Consensus; linear matrix inequality; Markov switching topology; multi-agent system
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Funding
- National Natural Science Foundation of P. R. China [61074043]
- Natural Science Foundation of Jiangsu Province [BK2008047]
- Qing Lan Project
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This paper deals with the consensus problem of the second-order multi-agent systems based on linear system theory. By a system transformation, the consensus problem is converted to the stability problem of a linear system. The second-order systems considered include the systems with both the fixed topology and the Markov switching topology. Necessary and sufficient conditions of consensus or mean square consensus are obtained. The results are extended to the cases of the uncertain transition probability rates and time-delay, respectively. Finally, a simulation example is given to show the effectiveness of the presented results.
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