On the Synergistic Influence of Two Control Variables on the State of Nonlinear Optimal Control Models

Provided that the Hamiltonian maximizing conditions do not depend on the state variable, under certain assumptions, a synergistic influence of two control variables on the state of a nonlinear optimal control model can be identified. By such a synergism we mean that it is optimal to use both controls so as to influence the state variable ‘in the same direction’.