A state-space model is said to be completely output controllable if, for any initial time and any initial state, there exists some control input that drives the output to any desired final value in finite time.
(2)
An output-controllable system:
A system that is not output-controllable:
An output-controllable system:
Out[1]=
A system that is not output-controllable:
Out[1]=
(3)
Test if a continuous-time system is output-controllable:
Test if a discrete-time system is output-controllable:
A system that is not output-controllable:
(1)
Controllability and output-controllability are not correlated: