Abstract
This paper treats two subjects concerned with output control for linear, time-invariant discrete-time systems.
The first is to introduce the concept of abilities of output control, i.e. output controllability, output settability, output rechability and completely output controllability, corresponding to the concept of abilities of state control, and to show necessary and sufficient conditions for these abilities.
The second is to solve the minimum-time output setting problem, which corresponds to the minimum-time state control problem. The solvability for this problem is shown to be equivalent to the output settability for the systems.
The results in this paper can be easily applied to the state control problems as a special case.
