If a linear system is controllable, does it mean we can find the control standard form in state space, but it doesn't mean all the forms of state space representations is controllable?
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Better ask it on electrical stackexchange. your question is related to control system engineering – Mar 11 '19 at 03:20
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Controllability has a precise, formal, mathematical meaning, so it is on-topic here in my opinion. However, I still don't understand the question. Especially the last part simply doesn't make sense to me as an English sentence. @孙志鹏 please reword it and add some details as well. – user3658307 Mar 11 '19 at 15:02