Global constrained holdability of discrete-time systems

Global constrained holdability of a discrete-time system is considered. This problem is concerned with determining if for every, initial state in a given convex holding set, there exists a control, subject to specified magnitude constraints, which keeps the state of the system in the holding set. A condition for checking global constrained holding is presented. A method for computing a control, subject to specified magnitude constraints, which holds the state of the system in the holding set for a prescribed initial state is also given.