Simultaneous Topology Estimation and Synchronization of Dynamical Networks with Time-varying Topology
<|reference_start|>Simultaneous Topology Estimation and Synchronization of Dynamical Networks with Time-varying Topology: We propose an adaptive control strategy for the simultaneous estimation of topology and synchronization in complex dynamical networks with unknown, time-varying topology. Our approach transforms the problem of time-varying topology estimation into a problem of estimating the time-varying weights of a complete graph, utilizing an edge-agreement framework. We introduce two auxiliary networks: one that satisfies the persistent excitation condition to facilitate topology estimation, while the other, a uniform-$\delta$ persistently exciting network, ensures the boundedness of both weight estimation and synchronization errors, assuming bounded time-varying weights and their derivatives. A relevant numerical example shows the efficiency of our methods.<|reference_end|>
@article{wang2024simultaneous,
    title={Simultaneous Topology Estimation and Synchronization of Dynamical
  Networks with Time-varying Topology},
    author={Nana Wang, Esteban Restrepo, and Dimos V. Dimarogonas},
    journal={arXiv preprint arXiv:2409.08404},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.08404},
    primaryClass={cs.MA}
}