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arXiv · 2409.08404

Simultaneous Topology Estimation and Synchronization of Dynamical Networks with Time-varying Topology

Nana Wang·Esteban Restrepo·Dimos V. Dimarogonas
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Abstract

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.

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Nana Wang, Esteban Restrepo, Dimos V. Dimarogonas. 2024-09-12. Simultaneous Topology Estimation and Synchronization of Dynamical Networks with Time-varying Topology. https://arxiv.org/abs/2409.08404

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