Consensus under Persistence Excitation
<|reference_start|>Consensus under Persistence Excitation: We prove that a first-order cooperative system of interacting agents converges to consensus if the so-called Persistence Excitation condition holds. This condition requires that the interaction function between any pair of agents satisfies an integral lower bound. The interpretation is that the interaction needs to ensure a minimal amount of service.<|reference_end|>
@article{ancona2024consensus,
    title={Consensus under Persistence Excitation},
    author={Fabio Ancona, Mohamed Bentaibi and Francesco Rossi},
    journal={arXiv preprint arXiv:2403.07549},
    year={2024},
    archivePrefix={arXiv},
    eprint={2403.07549},
    primaryClass={math.OC cs.SY eess.SY}
}