Journal
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
Volume 31, Issue 8, Pages 2955-2964Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNNLS.2019.2934648
Keywords
Synchronization; Couplings; Multi-agent systems; Laplace equations; Protocols; Control systems; Autonomous agents; Consensus; fractional-order; multi-agent systems; sampled-data control; synchronization
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Funding
- Natural Science Foundation of China [61603129, 61673188, 61761130081]
- National Key Research and Development Program of China [2016YFB0800402]
- Foundation for Innovative Research Groups of Hubei Province of China [2017CFA005]
- Fundamental Research Funds for the Central Universities [2017KFXKJC002]
- Natural Science Foundation of Hubei Province [2016CFC734]
- Newton Advanced Fellowship Award of the Royal Society [NA160545, 61976085]
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This article addresses synchronization and consensus problems in networks of linear fractional-order multi-agent systems (LFOMAS) via sampled-data control. First, under very mild assumptions, the necessary and sufficient conditions are obtained for achieving synchronization in networks of LFOMAS. Second, the results of synchronization are applied to solve some consensus problems in networks of LFOMAS. In the obtained results, the coupling matrix does not have to be a Laplacian matrix, its off-diagonal elements do not have to be nonnegative, and its row-sum can be nonzero. Finally, the validity of the theoretical results is verified by three simulation examples.
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