Output Controllability .In many situations a control engineer may be interested in controlling the output y rather than the state x. A system is said to be output controllable if at any time you are able to transfer the output from zero to any desired output y* in a finite time using an appropriate control signal u*. Derive necessary and sufficient conditions for a continuous system (F, G, H) to be output controllable. Are output and state control ability related? If so, how?