Simultaneous Topology Estimation and Synchronization of Dynamical Networks with Time-varying Topology - Archive ouverte HAL
Communication Dans Un Congrès Année : 2024

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

Résumé

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 uniformδ 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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hal-04871129 , version 1 (07-01-2025)

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  • HAL Id : hal-04871129 , version 1

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Nana Wang, Esteban Restrepo, Dimos V Dimarogonas. Simultaneous Topology Estimation and Synchronization of Dynamical Networks with Time-varying Topology. CDC 2024 - 63rd IEEE Conference on Decision and Control, Dec 2024, Milano, Italy. pp.1-8. ⟨hal-04871129⟩
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