Simultaneous Topology Estimation and Synchronization of Dynamical Networks with Time-varying Topology
| Autor: | Wang, Nana, Restrepo, Esteban, Dimarogonas, Dimos V. |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: To be published in: The 63rd IEEE Conference on Decision and Control (CDC-2024 Milano, Italy); This is an extended version with 8 pages |
| Databáze: | arXiv |
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