Necessary and Sufficient Conditions for Group Consensus of Fractional Multiagent Systems Under Fixed and Switching Topologies via Pinning Control. Academic Article

abstract

• The group consensus problem for fractional-order multiagent systems is investigated in this paper. With the help of double-tree-form transformations, the group consensus problem of fractional-order multiagent systems is proved to be equivalent to the asymptotical stability problem of reduced-order error systems. A class of distributed control protocols and some simple LMI sufficient conditions as well as necessary and sufficient conditions are proposed in this paper to solve the group consensus problem for fractional multiagent systems. Moreover, pinning control strategy has been taken into consideration. It is shown that the system converges more rapidly when the designed pinning protocols are adopted. In addition, the case of fractional system with switching topologies is also discussed and some corresponding sufficient conditions are obtained. Finally, some simulation results are presented to illustrate the theoretical results.

authors

• Huang, Tingwen

published proceedings

• IEEE Trans Cybern

author list (cited authors)

• Chen, Y., Wen, G., Peng, Z., Huang, T., & Yu, Y.

citation count

• 11

complete list of authors

• Chen, Yiwen||Wen, Guoguang||Peng, Zhaoxia||Huang, Tingwen||Yu, Yongguang

publication date

• January 2021

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE TRANSACTIONS ON CYBERNETICS  Journal

keywords

• Double-tree-form (dtf) Transformation
• Fractional-order
• Group Consensus
• Indexes
• Linear Matrix Inequality
• Multi-agent Systems
• Protocols
• Switches
• Topology
• Vehicle Dynamics

Digital Object Identifier (DOI)

• 10.1109/TCYB.2019.2918549

start page

• 28

end page

• 39

volume

• 51

issue

• 1

URL

• http://dx.doi.org/10.1109/tcyb.2019.2918549