### Interval Reachability Analysis using Second-Order Sensitivity. (arXiv:1911.09775v1 [eess.SY])

We propose a new approach to compute an interval over-approximation of the finite time reachable set for a large class of nonlinear systems. This approach relies on the notions of sensitivity matrices, which are the partial derivatives representing the variations of the system trajectories in response to variations of the initial states. Using interval arithmetics,…