True or false plz

e$)$ Any unstable system can be stabilized with feedback control.

f$)$ A second$-$order system whose poles have negative real parts exhibits the impulse response with an exponentially decaying amplitude, and we called such a system stable.

g$)$ In terms of steady state error, higher order type system is always better than the lower one.

h$)$ Lag compensation acts mainly to speed up a response and to decrease the transient overshoot.

i$)$ If the relative degree of the open loop transfer function is larger than $2,$ the closed loop system becomes unstable for high gain.

j$)$ For a certain system, its state$-$space model is unique when the input and output are fixed.