I am going through a rough patch in understanding what exactly is the difference between the two type of systems. In the book " Control System Synthesis : A Factorization Approach " it is mentioned that a plant is strongly stabilizable if and only if the number of poles of the plant between every pair of real right hand plane zeros of the plant is even, however, I haven't found any mention of a "stabilizable" plant in this book but it is mentioned in another book titled "Robust Control Design: An optimal control approach" where it is mentioned that a plant is stabilizable if the unstable RHP poles can be relocated to the stable LHP. The two books dealt with the topic in two different ways and so I am left wondering what exactly is the difference between the two .

NB: My conjecture is that "a plant is not strongly stabilizable (or just stabilizable) if it is inherently unstable and requires an unstable compensator to stabilize it" . But I am not sure if that is true.

The resources cited have been attached herewith for your convenience.