August 2012
Intermediate to advanced
392 pages
10h 50m
English
Content preview from Nonlinear Optimal Control Theory
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Chapter 2
Formulation of Control Problems
2.1 Introduction
In this chapter we discuss the mathematical structures of the examples in
the previous chapter.
We first disc uss problems whose dynamics are given by ordinary differ-
ential equations. We motivate and give precise mathematical formulations
and equivalent mathematical formulations of appa rently different problems.
We then point o ut 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.
2.2 Formulation of Problems Governed by Ordinary
Differential Equations ...
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