chapter  2
Formulation of Control Problems
Pages 20

In this chapter we discuss the mathematical structures of the examples in the previous chapter.

We first discuss problems whose dynamics are given by ordinary differential equations. We motivate and give precise mathematical formulations and equivalent mathematical formulations of apparently different problems. We then point out the relationship between optimal control problems and the calculus of variations. Last, we present various formulations of hereditary problems. These problems are also called delay or lag problems.