Robustness under control sampling of reachability in fixed time for nonlinear control systems

TL;DR

This paper proves that reachability within a fixed time for nonlinear control systems remains robust when controls are sampled regularly, under certain regularity assumptions.

Contribution

It introduces a novel proof demonstrating robustness of fixed-time reachability under control sampling for nonlinear systems.

Findings

Reachability is robust under control sampling.

The proof relies on a regularity assumption.

Results apply to a class of nonlinear control systems.

Abstract

Under a regularity assumption we prove that reachability in fixed time for nonlinear control systems is robust under control sampling.