Pinning Control in Networks of Nonidentical Systems With Many-Body Interactions

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.