@article{Yu2026, 
author = {Huaiqin Yu and Qiang Fu and Xiaohuan Wang},
title = {Research on synchronized assets of multiple individuals based on delayed feedback control},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {2},
pages = {1017-1043},
keywords = {delayed feedback control, consensus, average quasi-consensus, SOMAS, graph-theoretic technique, mixed time-varying delays},
url = {https://www.sciopen.com/article/10.3934/era.2026047},
doi = {10.3934/era.2026047},
abstract = {From a theoretical perspective, it is worthwhile to use the idea of control to synchronize multiple individual assets. We regard personal assets as multi-agent systems, i.e., second-order multi-agent systems (SOMAS). The delayed feedback control for consensus and average quasi-consensus of delayed SOMAS is studied. First, two weight matrices are studied, where the interactions are not entirely cooperative into the SOMAS with mixed time-varying delays (the delay varies with time). Second, a delayed feedback control is designed based on two weight matrices where the interactions are cooperative to get the consensus about followers and the average quasi-consensus about leader and followers. The consensus and average quasi-consensus of the delayed SOMAS are established by the graph-theoretic technique and Lyapunov functions. Finally, some numerical simulations is given to verify the theory.}
}