International Journal of Control, Vol.93, No.3, 483-489, 2020
Weak reachability and controllability of discrete-time nonlinear systems: generic approach and singular points
The paper finds the singular points from which (to which) the generically accessible system is not weakly reachable (controllable) in k steps. These points are found with the help of the space of vector fields, being the discrete-time analogue of the strong accessibility distribution. Unlike in the continuous-time case, a separate object is needed to find the singular points related to weak reachability.