期刊
ISA TRANSACTIONS
卷 116, 期 -, 页码 113-120出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.isatra.2021.01.034
关键词
Cluster consensus; Multi-agent systems; Markovian switching topologies; Communication noises
资金
- National Natural Science Foundation of China [62003087, 62073081, 12071074, 61873099]
- Guangdong Young Innovative Talents Project [2020KQNCX074]
- Natural Science Foundation of Guangdong Province [18ZK0174]
- Guangdong-Hong Kong-Macao Intelligent Micro-Nano Optoelectronic Technology Joint Laboratory [2020B1212030010]
This paper focuses on the mean square cluster consensus of nonlinear multi-agent systems with Markovian switching topologies and communication noise via pinning control technique. Sufficient conditions for mean square cluster consensus are derived for both fixed and switching topologies. The paper also considers the case where some elements of transition probabilities in Markov chain are unknown.
This paper focuses on the mean square cluster consensus of nonlinear multi-agent systems with Markovian switching topologies and communication noise via pinning control technique. Network topology can take weaker conditions in each cluster but an extra balanced condition is also needed. A time-varying control gain will be introduced to eliminate the effect of stochastic noise. For the case of fixed topology, if the induced digraph of each cluster has a directed spanning tree, the sufficient conditions for the mean square cluster consensus can be obtained. For the case of Markovian switching topologies, if the induced digraph of union of the Laplacian matrix of each mode has a directed spanning tree, the mean square cluster consensus conclusion can be derived. Particularly, if the elements of transition probability of Markov chain are partly unknown, we can also obtain the same conclusion under the same conditions. Finally, two examples are given to illustrate our results. (C) 2021 ISA. Published by Elsevier Ltd. All rights reserved.
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