Dynamic equilibrium state controllability of linear time-invariant systems

A definition of the dynamic equilibrium state controllability of linear time-invariant systems is presented based upon dynamic equilibrium state theory, on which the necessary and sufficient conditions for the dynamic equilibrium state controllability are elaborated. Compared with the state controllability, the condition of the dynamic equilibrium state controllability is stricter. It is also proved that the necessary and sufficient condition for the both is equivalent in some condition. Furthermore, if the state is controllable in a stable system, the dynamic equilibrium state can be reached to any point on the state space by the state feedback.