Neural Ordinary Differential Equation Control of Dynamics on Graphs [article]

Thomas Asikis, Lucas Böttcher, Nino Antulov-Fantulin
2021 arXiv   pre-print
We study the ability of neural networks to calculate feedback control signals that steer trajectories of continuous time non-linear dynamical systems on graphs, which we represent with neural ordinary differential equations (neural ODEs). To do so, we present a neural-ODE control (NODEC) framework and find that it can learn feedback control signals that drive graph dynamical systems into desired target states. While we use loss functions that do not constrain the control energy, our results
more » ... , in accordance with related work, that NODEC produces low energy control signals. Finally, we evaluate the performance and versatility of NODEC against well-known feedback controllers and deep reinforcement learning. We use NODEC to generate feedback controls for systems of more than one thousand coupled, non-linear ODEs that represent epidemic processes and coupled oscillators.
arXiv:2006.09773v5 fatcat:6oiktynaqbdz5bqzcetrgn5k4y