| Abstract: | This paper discusses not a point of equilibrium to free system, but a certain family of equilibrium state of dynamical system with inputs. This equilibrium state depends on the input, so it is called the dynamic equilibrium state. The expression of the dynamic equilibrium state can be given under some certain condition. With deductions and proofs in linear control system, establish the expression of the dynamic equilibrium state in two cases, where the linear systems are nonsingular or singular. Also present the concept and the condition of the controllability of the dynamic equilibrium state. The controllability of the dynamic equilibrium state is different from the controllability of the state to system, but these two are closely related. |
