We study the problem of controlling an ensemble of nonidentical dynamical units to a desired trajectory set by the pinner in the presence of multi-body interactions across the units. We provide sufficient conditions for local bounded convergence, and estimate the convergence bound as a function of the parameter mismatch between the units, and of the directed hypergraph describing their interacting topology. Numerical examples demonstrate the robustness of the approach.
Pinning Control in Networks of Nonidentical Systems with Many-Body Interactions / Rizzello, R.; De Lellis, P.. - In: IEEE CONTROL SYSTEMS LETTERS. - ISSN 2475-1456. - 8:(2024), pp. 1313-1318. [10.1109/LCSYS.2024.3406916]
Pinning Control in Networks of Nonidentical Systems with Many-Body Interactions
Rizzello R.;De Lellis P.
2024
Abstract
We study the problem of controlling an ensemble of nonidentical dynamical units to a desired trajectory set by the pinner in the presence of multi-body interactions across the units. We provide sufficient conditions for local bounded convergence, and estimate the convergence bound as a function of the parameter mismatch between the units, and of the directed hypergraph describing their interacting topology. Numerical examples demonstrate the robustness of the approach.| File | Dimensione | Formato | |
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