arXiv Systems & Control#tech
Control-Theoretic View of Neural ODEs: Empirical Controllability and Observabilitytranslating…
Factuality: 78/100UnknownarXiv Press Ltd
arXiv:2606.08431v1 Announce Type: new
Abstract: This paper studies neural ordinary differential equations (neural ODEs) from a control-theoretic perspective using controllability and observability concepts. The neural ODE is represented in a control-affine form to facilitate analysis using tools from nonlinear and linear time-varying (LTV) systems. Controllability is examined through trajectory linearization, where the LTV controllability Gramian provides a local, first-order measure of input i