On the Parameter Sensitivity of Time-Optimal Control Loops with Linear Time-Invariant Plants.

The parameter sensitivity of time-optimal control loops is investigated, where first of all plants with one input variable and then plants with multiple input variables are considered. In connexion with multiple input variables the term measuring stability is discussed, which is not common in control engineering and which plays an essential role especially in the case of identical number of input and state variables. In a final section the relations between known differentiability properties of the Bellman function and the parameter sensitivity of time-optimal control loops are demonstrated.