Controllability of two-dimensional bilinear systems : restricted controls and discrete-time
Ayala Bravo, Víctor
San Martín, Luiz A. B.
Given a bilinear control system x = (X+ uY) x with restricted control range, necessary and sufficient conditions for controllability are given under the assumption that the group of the system is Sl (2). These conditions extend known conditions for systems with unrestricted controls and work also for the discrete-time version of the system.