Necessary and Sufficient Conditions for Consensus in Fractional-Order Multiagent Systems via Sampled Data over Directed Graph
Date of Original Version
This paper studies the consensus in fractional-order multiagent systems over directed graph via sampled-data control method. A distributed control protocol using the sampled position and velocity data is designed. By virtue of the Mittag-Leffler function, Laplace transform, and matrix theory, some necessary and sufficient conditions associated with the sampling period, the fractional order, the coupling strengths, and the network structure to obtain consensus of the systems are obtained. Then, some detailed discussions are presented about how to select the sampling period and how to design the coupling strengths to attain the consensus of the systems, respectively. Lastly, some numerical simulation results are illustrated to reflect the availability of the theoretical analysis.
IEEE Transactions on Systems, Man, and Cybernetics: Systems
Su, Housheng, Yanyan Ye, Xia Chen, and Haibo He. "Necessary and Sufficient Conditions for Consensus in Fractional-Order Multiagent Systems via Sampled Data over Directed Graph." IEEE Transactions on Systems, Man, and Cybernetics: Systems 51, 4 (2021): 2501-2511. doi:10.1109/TSMC.2019.2915653.