Optimal control of ordinary differential systems. Optimality conditions
This chapter and the next one are devoted to some basic ideas and techniques in optimal control theory of ordinary differential systems. We do not treat the optimal control problem or Pontryagin’s principle in their most general form; instead we prefer a direct approach for some significant optimal control problems in life sciences and economics governed by ordinary differential systems. We point out the main steps in the study of an optimal control problem for each investigated example. These steps are similar for all examples. There are, however, specific technical difficulties for each investigated problem.