Before revision: For a linear time invariant (LTI) control system with initial state , one can pick an input so that the system will be in the state at time , and for any other input , which also drives the system from to at time To choose this input, first compute the controllability gramian The minimum energy control is then If and See also LTI system theory Control engineering State space (control
After revision: , these expressions simplify toFor a linear time invariant (LTI) control system with initial state , one can pick an input so that the system will be in the state at time , and for any other input , which also drives the system from to at time To choose this input, first compute the controllability gramian The minimum energy control is then If and See also LTI system theory Control engineering State space (control