A Grobman-Hartman theorem for control systems (Q2369890)

The classical Grobman-Hartman theorem states that an autonomous system of differential equations is topologically conjugated with its linearization near a hyperbolic rest point. The authors generalize this result to control systems in the following two cases: either if the control is generated by a finite-dimensional dynamical system or if it possible to associate to a control system a flow on a suitable functional space.